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Finding the Fourth Proportional to 4,946.87, 7,391.92 and 4,854.53

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Solution

The fourth proportional to 4,946.87, 7,391.92 and 4,854.53 is: 7,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.87 : 7,391.92 = 4,854.53 : x
  2. Step 2: Convert to fraction form
    4,946.87/7,391.92 = 4,854.53/x
  3. Step 3: Cross multiply
    4,946.87x = 7,391.92 × 4,854.53
  4. Step 4: Simplify right side
    4,946.87x = 35,884,273.12
  5. Step 5: Solve for x
    x = 35,884,273.12/4,946.87
  6. Step 6: Final answer
    x = 7,253.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.