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Finding the Fourth Proportional to 3,656.43, 5,490 and 2,098.17

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Solution

The fourth proportional to 3,656.43, 5,490 and 2,098.17 is: 3,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.43 : 5,490 = 2,098.17 : x
  2. Step 2: Convert to fraction form
    3,656.43/5,490 = 2,098.17/x
  3. Step 3: Cross multiply
    3,656.43x = 5,490 × 2,098.17
  4. Step 4: Simplify right side
    3,656.43x = 11,518,953.30
  5. Step 5: Solve for x
    x = 11,518,953.30/3,656.43
  6. Step 6: Final answer
    x = 3,150.33

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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.