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Finding the Fourth Proportional to 3,909.16, 5,863.74 and 3,680.90

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Solution

The fourth proportional to 3,909.16, 5,863.74 and 3,680.90 is: 5,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.16 : 5,863.74 = 3,680.90 : x
  2. Step 2: Convert to fraction form
    3,909.16/5,863.74 = 3,680.90/x
  3. Step 3: Cross multiply
    3,909.16x = 5,863.74 × 3,680.90
  4. Step 4: Simplify right side
    3,909.16x = 21,583,840.57
  5. Step 5: Solve for x
    x = 21,583,840.57/3,909.16
  6. Step 6: Final answer
    x = 5,521.35

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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.