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Finding the Fourth Proportional to 5,046.91, 7,565.92 and 1,966.75

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Solution

The fourth proportional to 5,046.91, 7,565.92 and 1,966.75 is: 2,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.91 : 7,565.92 = 1,966.75 : x
  2. Step 2: Convert to fraction form
    5,046.91/7,565.92 = 1,966.75/x
  3. Step 3: Cross multiply
    5,046.91x = 7,565.92 × 1,966.75
  4. Step 4: Simplify right side
    5,046.91x = 14,880,273.16
  5. Step 5: Solve for x
    x = 14,880,273.16/5,046.91
  6. Step 6: Final answer
    x = 2,948.39

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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.