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Finding the Fourth Proportional to 5,746.92, 7,930.02 and 3,262.92

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Solution

The fourth proportional to 5,746.92, 7,930.02 and 3,262.92 is: 4,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.92 : 7,930.02 = 3,262.92 : x
  2. Step 2: Convert to fraction form
    5,746.92/7,930.02 = 3,262.92/x
  3. Step 3: Cross multiply
    5,746.92x = 7,930.02 × 3,262.92
  4. Step 4: Simplify right side
    5,746.92x = 25,875,020.86
  5. Step 5: Solve for x
    x = 25,875,020.86/5,746.92
  6. Step 6: Final answer
    x = 4,502.42

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Similar ratio
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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.