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Finding the Fourth Proportional to 5,653.69, 7,802.05 and 3,135.80

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Solution

The fourth proportional to 5,653.69, 7,802.05 and 3,135.80 is: 4,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.69 : 7,802.05 = 3,135.80 : x
  2. Step 2: Convert to fraction form
    5,653.69/7,802.05 = 3,135.80/x
  3. Step 3: Cross multiply
    5,653.69x = 7,802.05 × 3,135.80
  4. Step 4: Simplify right side
    5,653.69x = 24,465,668.39
  5. Step 5: Solve for x
    x = 24,465,668.39/5,653.69
  6. Step 6: Final answer
    x = 4,327.38

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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.