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Finding the Fourth Proportional to 5,949.47, 8,965.05 and 4,932.29

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Solution

The fourth proportional to 5,949.47, 8,965.05 and 4,932.29 is: 7,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.47 : 8,965.05 = 4,932.29 : x
  2. Step 2: Convert to fraction form
    5,949.47/8,965.05 = 4,932.29/x
  3. Step 3: Cross multiply
    5,949.47x = 8,965.05 × 4,932.29
  4. Step 4: Simplify right side
    5,949.47x = 44,218,226.46
  5. Step 5: Solve for x
    x = 44,218,226.46/5,949.47
  6. Step 6: Final answer
    x = 7,432.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.