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Finding the Fourth Proportional to 4,642.74, 6,959.25 and 3,408.30

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Solution

The fourth proportional to 4,642.74, 6,959.25 and 3,408.30 is: 5,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.74 : 6,959.25 = 3,408.30 : x
  2. Step 2: Convert to fraction form
    4,642.74/6,959.25 = 3,408.30/x
  3. Step 3: Cross multiply
    4,642.74x = 6,959.25 × 3,408.30
  4. Step 4: Simplify right side
    4,642.74x = 23,719,211.78
  5. Step 5: Solve for x
    x = 23,719,211.78/4,642.74
  6. Step 6: Final answer
    x = 5,108.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.