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Finding the Fourth Proportional to 3,728.39, 5,564.66 and 3,666.87

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Solution

The fourth proportional to 3,728.39, 5,564.66 and 3,666.87 is: 5,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.39 : 5,564.66 = 3,666.87 : x
  2. Step 2: Convert to fraction form
    3,728.39/5,564.66 = 3,666.87/x
  3. Step 3: Cross multiply
    3,728.39x = 5,564.66 × 3,666.87
  4. Step 4: Simplify right side
    3,728.39x = 20,404,866.48
  5. Step 5: Solve for x
    x = 20,404,866.48/3,728.39
  6. Step 6: Final answer
    x = 5,472.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.