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Finding the Fourth Proportional to 5,732.40, 8,597.40 and 2,812.80

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Solution

The fourth proportional to 5,732.40, 8,597.40 and 2,812.80 is: 4,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.40 : 8,597.40 = 2,812.80 : x
  2. Step 2: Convert to fraction form
    5,732.40/8,597.40 = 2,812.80/x
  3. Step 3: Cross multiply
    5,732.40x = 8,597.40 × 2,812.80
  4. Step 4: Simplify right side
    5,732.40x = 24,182,766.72
  5. Step 5: Solve for x
    x = 24,182,766.72/5,732.40
  6. Step 6: Final answer
    x = 4,218.61

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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.