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Finding the Fourth Proportional to 5,197.32, 7,787.18 and 3,141

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Solution

The fourth proportional to 5,197.32, 7,787.18 and 3,141 is: 4,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.32 : 7,787.18 = 3,141 : x
  2. Step 2: Convert to fraction form
    5,197.32/7,787.18 = 3,141/x
  3. Step 3: Cross multiply
    5,197.32x = 7,787.18 × 3,141
  4. Step 4: Simplify right side
    5,197.32x = 24,459,532.38
  5. Step 5: Solve for x
    x = 24,459,532.38/5,197.32
  6. Step 6: Final answer
    x = 4,706.18

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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.