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Finding the Fourth Proportional to 3,613.90, 5,419.14 and 1,666.30

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Solution

The fourth proportional to 3,613.90, 5,419.14 and 1,666.30 is: 2,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.90 : 5,419.14 = 1,666.30 : x
  2. Step 2: Convert to fraction form
    3,613.90/5,419.14 = 1,666.30/x
  3. Step 3: Cross multiply
    3,613.90x = 5,419.14 × 1,666.30
  4. Step 4: Simplify right side
    3,613.90x = 9,029,912.98
  5. Step 5: Solve for x
    x = 9,029,912.98/3,613.90
  6. Step 6: Final answer
    x = 2,498.66

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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.