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Finding the Fourth Proportional to 4,963.57, 7,442.98 and 2,884.16

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Solution

The fourth proportional to 4,963.57, 7,442.98 and 2,884.16 is: 4,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.57 : 7,442.98 = 2,884.16 : x
  2. Step 2: Convert to fraction form
    4,963.57/7,442.98 = 2,884.16/x
  3. Step 3: Cross multiply
    4,963.57x = 7,442.98 × 2,884.16
  4. Step 4: Simplify right side
    4,963.57x = 21,466,756.59
  5. Step 5: Solve for x
    x = 21,466,756.59/4,963.57
  6. Step 6: Final answer
    x = 4,324.86

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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.