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Finding the Fourth Proportional to 3,666.74, 5,502.33 and 1,587.29

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Solution

The fourth proportional to 3,666.74, 5,502.33 and 1,587.29 is: 2,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.74 : 5,502.33 = 1,587.29 : x
  2. Step 2: Convert to fraction form
    3,666.74/5,502.33 = 1,587.29/x
  3. Step 3: Cross multiply
    3,666.74x = 5,502.33 × 1,587.29
  4. Step 4: Simplify right side
    3,666.74x = 8,733,765.87
  5. Step 5: Solve for x
    x = 8,733,765.87/3,666.74
  6. Step 6: Final answer
    x = 2,381.89

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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.