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Finding the Fourth Proportional to 5,699,903.71, 7,865,713.50 and 3,252,470.47

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Solution

The fourth proportional to 5,699,903.71, 7,865,713.50 and 3,252,470.47 is: 4,488,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,903.71 : 7,865,713.50 = 3,252,470.47 : x
  2. Step 2: Convert to fraction form
    5,699,903.71/7,865,713.50 = 3,252,470.47/x
  3. Step 3: Cross multiply
    5,699,903.71x = 7,865,713.50 × 3,252,470.47
  4. Step 4: Simplify right side
    5,699,903.71x = 25,583,000,884,230.35
  5. Step 5: Solve for x
    x = 25,583,000,884,230.35/5,699,903.71
  6. Step 6: Final answer
    x = 4,488,321.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.