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Finding the Fourth Proportional to 4,957.92, 7,429.20 and 2,033.76

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Solution

The fourth proportional to 4,957.92, 7,429.20 and 2,033.76 is: 3,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.92 : 7,429.20 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    4,957.92/7,429.20 = 2,033.76/x
  3. Step 3: Cross multiply
    4,957.92x = 7,429.20 × 2,033.76
  4. Step 4: Simplify right side
    4,957.92x = 15,109,209.79
  5. Step 5: Solve for x
    x = 15,109,209.79/4,957.92
  6. Step 6: Final answer
    x = 3,047.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.