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Finding the Fourth Proportional to 6,498.40, 8,964.40 and 3,841.20

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Solution

The fourth proportional to 6,498.40, 8,964.40 and 3,841.20 is: 5,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.40 : 8,964.40 = 3,841.20 : x
  2. Step 2: Convert to fraction form
    6,498.40/8,964.40 = 3,841.20/x
  3. Step 3: Cross multiply
    6,498.40x = 8,964.40 × 3,841.20
  4. Step 4: Simplify right side
    6,498.40x = 34,434,053.28
  5. Step 5: Solve for x
    x = 34,434,053.28/6,498.40
  6. Step 6: Final answer
    x = 5,298.85

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Why These Related Problems?

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