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Finding the Fourth Proportional to 3,684.48, 5,487.69 and 3,666.54

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Solution

The fourth proportional to 3,684.48, 5,487.69 and 3,666.54 is: 5,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.48 : 5,487.69 = 3,666.54 : x
  2. Step 2: Convert to fraction form
    3,684.48/5,487.69 = 3,666.54/x
  3. Step 3: Cross multiply
    3,684.48x = 5,487.69 × 3,666.54
  4. Step 4: Simplify right side
    3,684.48x = 20,120,834.89
  5. Step 5: Solve for x
    x = 20,120,834.89/3,684.48
  6. Step 6: Final answer
    x = 5,460.97

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