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Finding the Fourth Proportional to 5,346.28, 7,371.12 and 3,454.66

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Solution

The fourth proportional to 5,346.28, 7,371.12 and 3,454.66 is: 4,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.28 : 7,371.12 = 3,454.66 : x
  2. Step 2: Convert to fraction form
    5,346.28/7,371.12 = 3,454.66/x
  3. Step 3: Cross multiply
    5,346.28x = 7,371.12 × 3,454.66
  4. Step 4: Simplify right side
    5,346.28x = 25,464,713.42
  5. Step 5: Solve for x
    x = 25,464,713.42/5,346.28
  6. Step 6: Final answer
    x = 4,763.07

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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.