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Finding the Fourth Proportional to 6,098.64, 9,139.28 and 3,319.28

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Solution

The fourth proportional to 6,098.64, 9,139.28 and 3,319.28 is: 4,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.64 : 9,139.28 = 3,319.28 : x
  2. Step 2: Convert to fraction form
    6,098.64/9,139.28 = 3,319.28/x
  3. Step 3: Cross multiply
    6,098.64x = 9,139.28 × 3,319.28
  4. Step 4: Simplify right side
    6,098.64x = 30,335,829.32
  5. Step 5: Solve for x
    x = 30,335,829.32/6,098.64
  6. Step 6: Final answer
    x = 4,974.20

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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.