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Finding the Fourth Proportional to 5,041.92, 6,957.42 and 2,946.24

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Solution

The fourth proportional to 5,041.92, 6,957.42 and 2,946.24 is: 4,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.92 : 6,957.42 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    5,041.92/6,957.42 = 2,946.24/x
  3. Step 3: Cross multiply
    5,041.92x = 6,957.42 × 2,946.24
  4. Step 4: Simplify right side
    5,041.92x = 20,498,229.10
  5. Step 5: Solve for x
    x = 20,498,229.10/5,041.92
  6. Step 6: Final answer
    x = 4,065.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.