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Finding the Fourth Proportional to 3,442.76, 5,164.14 and 3,267.47

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Solution

The fourth proportional to 3,442.76, 5,164.14 and 3,267.47 is: 4,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.76 : 5,164.14 = 3,267.47 : x
  2. Step 2: Convert to fraction form
    3,442.76/5,164.14 = 3,267.47/x
  3. Step 3: Cross multiply
    3,442.76x = 5,164.14 × 3,267.47
  4. Step 4: Simplify right side
    3,442.76x = 16,873,646.71
  5. Step 5: Solve for x
    x = 16,873,646.71/3,442.76
  6. Step 6: Final answer
    x = 4,901.20

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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.