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Finding the Fourth Proportional to 3,909.34, 5,864.38 and 1,098.17

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Solution

The fourth proportional to 3,909.34, 5,864.38 and 1,098.17 is: 1,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.34 : 5,864.38 = 1,098.17 : x
  2. Step 2: Convert to fraction form
    3,909.34/5,864.38 = 1,098.17/x
  3. Step 3: Cross multiply
    3,909.34x = 5,864.38 × 1,098.17
  4. Step 4: Simplify right side
    3,909.34x = 6,440,054.12
  5. Step 5: Solve for x
    x = 6,440,054.12/3,909.34
  6. Step 6: Final answer
    x = 1,647.35

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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.