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Finding the Fourth Proportional to 6,532.92, 9,792.65 and 2,582.57

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Solution

The fourth proportional to 6,532.92, 9,792.65 and 2,582.57 is: 3,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,792.65 = 2,582.57 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,792.65 = 2,582.57/x
  3. Step 3: Cross multiply
    6,532.92x = 9,792.65 × 2,582.57
  4. Step 4: Simplify right side
    6,532.92x = 25,290,235.05
  5. Step 5: Solve for x
    x = 25,290,235.05/6,532.92
  6. Step 6: Final answer
    x = 3,871.20

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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.