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Finding the Fourth Proportional to 3,657.96, 5,476.01 and 2,489.13

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Solution

The fourth proportional to 3,657.96, 5,476.01 and 2,489.13 is: 3,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.96 : 5,476.01 = 2,489.13 : x
  2. Step 2: Convert to fraction form
    3,657.96/5,476.01 = 2,489.13/x
  3. Step 3: Cross multiply
    3,657.96x = 5,476.01 × 2,489.13
  4. Step 4: Simplify right side
    3,657.96x = 13,630,488.33
  5. Step 5: Solve for x
    x = 13,630,488.33/3,657.96
  6. Step 6: Final answer
    x = 3,726.25

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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.