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Finding the Fourth Proportional to 5,252.62, 7,889.86 and 4,432.48

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Solution

The fourth proportional to 5,252.62, 7,889.86 and 4,432.48 is: 6,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.62 : 7,889.86 = 4,432.48 : x
  2. Step 2: Convert to fraction form
    5,252.62/7,889.86 = 4,432.48/x
  3. Step 3: Cross multiply
    5,252.62x = 7,889.86 × 4,432.48
  4. Step 4: Simplify right side
    5,252.62x = 34,971,646.65
  5. Step 5: Solve for x
    x = 34,971,646.65/5,252.62
  6. Step 6: Final answer
    x = 6,657.94

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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.