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Finding the Fourth Proportional to 3,666.57, 5,501.07 and 2,438.82

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Solution

The fourth proportional to 3,666.57, 5,501.07 and 2,438.82 is: 3,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.57 : 5,501.07 = 2,438.82 : x
  2. Step 2: Convert to fraction form
    3,666.57/5,501.07 = 2,438.82/x
  3. Step 3: Cross multiply
    3,666.57x = 5,501.07 × 2,438.82
  4. Step 4: Simplify right side
    3,666.57x = 13,416,092.03
  5. Step 5: Solve for x
    x = 13,416,092.03/3,666.57
  6. Step 6: Final answer
    x = 3,659.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.