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Finding the Fourth Proportional to 3,200.70, 4,792.95 and 2,552.70

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Solution

The fourth proportional to 3,200.70, 4,792.95 and 2,552.70 is: 3,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.70 : 4,792.95 = 2,552.70 : x
  2. Step 2: Convert to fraction form
    3,200.70/4,792.95 = 2,552.70/x
  3. Step 3: Cross multiply
    3,200.70x = 4,792.95 × 2,552.70
  4. Step 4: Simplify right side
    3,200.70x = 12,234,963.47
  5. Step 5: Solve for x
    x = 12,234,963.47/3,200.70
  6. Step 6: Final answer
    x = 3,822.59

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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.