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Finding the Fourth Proportional to 6,304.08, 9,452.88 and 2,408

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Solution

The fourth proportional to 6,304.08, 9,452.88 and 2,408 is: 3,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.08 : 9,452.88 = 2,408 : x
  2. Step 2: Convert to fraction form
    6,304.08/9,452.88 = 2,408/x
  3. Step 3: Cross multiply
    6,304.08x = 9,452.88 × 2,408
  4. Step 4: Simplify right side
    6,304.08x = 22,762,535.04
  5. Step 5: Solve for x
    x = 22,762,535.04/6,304.08
  6. Step 6: Final answer
    x = 3,610.76

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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.