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Finding the Fourth Proportional to 5,706.18, 7,873.82 and 3,188.20

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Solution

The fourth proportional to 5,706.18, 7,873.82 and 3,188.20 is: 4,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.18 : 7,873.82 = 3,188.20 : x
  2. Step 2: Convert to fraction form
    5,706.18/7,873.82 = 3,188.20/x
  3. Step 3: Cross multiply
    5,706.18x = 7,873.82 × 3,188.20
  4. Step 4: Simplify right side
    5,706.18x = 25,103,312.92
  5. Step 5: Solve for x
    x = 25,103,312.92/5,706.18
  6. Step 6: Final answer
    x = 4,399.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.