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Finding the Fourth Proportional to 4,152.87, 6,229.29 and 1,032.86

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Solution

The fourth proportional to 4,152.87, 6,229.29 and 1,032.86 is: 1,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.87 : 6,229.29 = 1,032.86 : x
  2. Step 2: Convert to fraction form
    4,152.87/6,229.29 = 1,032.86/x
  3. Step 3: Cross multiply
    4,152.87x = 6,229.29 × 1,032.86
  4. Step 4: Simplify right side
    4,152.87x = 6,433,984.47
  5. Step 5: Solve for x
    x = 6,433,984.47/4,152.87
  6. Step 6: Final answer
    x = 1,549.29

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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.