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Finding the Fourth Proportional to 5,024.64, 6,932.58 and 3,959.10

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Solution

The fourth proportional to 5,024.64, 6,932.58 and 3,959.10 is: 5,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.64 : 6,932.58 = 3,959.10 : x
  2. Step 2: Convert to fraction form
    5,024.64/6,932.58 = 3,959.10/x
  3. Step 3: Cross multiply
    5,024.64x = 6,932.58 × 3,959.10
  4. Step 4: Simplify right side
    5,024.64x = 27,446,770.04
  5. Step 5: Solve for x
    x = 27,446,770.04/5,024.64
  6. Step 6: Final answer
    x = 5,462.44

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