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Finding the Fourth Proportional to 4,552.65, 6,829.46 and 1,432.76

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Solution

The fourth proportional to 4,552.65, 6,829.46 and 1,432.76 is: 2,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.65 : 6,829.46 = 1,432.76 : x
  2. Step 2: Convert to fraction form
    4,552.65/6,829.46 = 1,432.76/x
  3. Step 3: Cross multiply
    4,552.65x = 6,829.46 × 1,432.76
  4. Step 4: Simplify right side
    4,552.65x = 9,784,935.80
  5. Step 5: Solve for x
    x = 9,784,935.80/4,552.65
  6. Step 6: Final answer
    x = 2,149.28

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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.