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Finding the Fourth Proportional to 3,657.45, 5,489.07 and 2,098.91

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Solution

The fourth proportional to 3,657.45, 5,489.07 and 2,098.91 is: 3,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.45 : 5,489.07 = 2,098.91 : x
  2. Step 2: Convert to fraction form
    3,657.45/5,489.07 = 2,098.91/x
  3. Step 3: Cross multiply
    3,657.45x = 5,489.07 × 2,098.91
  4. Step 4: Simplify right side
    3,657.45x = 11,521,069.77
  5. Step 5: Solve for x
    x = 11,521,069.77/3,657.45
  6. Step 6: Final answer
    x = 3,150.02

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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.