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Finding the Fourth Proportional to 5,414.24, 7,468.80 and 3,421.36

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Solution

The fourth proportional to 5,414.24, 7,468.80 and 3,421.36 is: 4,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.24 : 7,468.80 = 3,421.36 : x
  2. Step 2: Convert to fraction form
    5,414.24/7,468.80 = 3,421.36/x
  3. Step 3: Cross multiply
    5,414.24x = 7,468.80 × 3,421.36
  4. Step 4: Simplify right side
    5,414.24x = 25,553,453.57
  5. Step 5: Solve for x
    x = 25,553,453.57/5,414.24
  6. Step 6: Final answer
    x = 4,719.68

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