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Finding the Fourth Proportional to 5,865,908.16, 8,086,470.80 and 4,118,257.04

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Solution

The fourth proportional to 5,865,908.16, 8,086,470.80 and 4,118,257.04 is: 5,677,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865,908.16 : 8,086,470.80 = 4,118,257.04 : x
  2. Step 2: Convert to fraction form
    5,865,908.16/8,086,470.80 = 4,118,257.04/x
  3. Step 3: Cross multiply
    5,865,908.16x = 8,086,470.80 × 4,118,257.04
  4. Step 4: Simplify right side
    5,865,908.16x = 33,302,165,300,854.43
  5. Step 5: Solve for x
    x = 33,302,165,300,854.43/5,865,908.16
  6. Step 6: Final answer
    x = 5,677,239.46

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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.