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Finding the Fourth Proportional to 5,257.31, 7,875.18 and 4,211.64

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Solution

The fourth proportional to 5,257.31, 7,875.18 and 4,211.64 is: 6,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.31 : 7,875.18 = 4,211.64 : x
  2. Step 2: Convert to fraction form
    5,257.31/7,875.18 = 4,211.64/x
  3. Step 3: Cross multiply
    5,257.31x = 7,875.18 × 4,211.64
  4. Step 4: Simplify right side
    5,257.31x = 33,167,423.10
  5. Step 5: Solve for x
    x = 33,167,423.10/5,257.31
  6. Step 6: Final answer
    x = 6,308.83

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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.