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Finding the Fourth Proportional to 5,386.80, 7,454.52 and 5,257.20

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Solution

The fourth proportional to 5,386.80, 7,454.52 and 5,257.20 is: 7,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.80 : 7,454.52 = 5,257.20 : x
  2. Step 2: Convert to fraction form
    5,386.80/7,454.52 = 5,257.20/x
  3. Step 3: Cross multiply
    5,386.80x = 7,454.52 × 5,257.20
  4. Step 4: Simplify right side
    5,386.80x = 39,189,902.54
  5. Step 5: Solve for x
    x = 39,189,902.54/5,386.80
  6. Step 6: Final answer
    x = 7,275.17

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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.