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Finding the Fourth Proportional to 5,442.80, 7,511.28 and 3,347.60

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Solution

The fourth proportional to 5,442.80, 7,511.28 and 3,347.60 is: 4,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.80 : 7,511.28 = 3,347.60 : x
  2. Step 2: Convert to fraction form
    5,442.80/7,511.28 = 3,347.60/x
  3. Step 3: Cross multiply
    5,442.80x = 7,511.28 × 3,347.60
  4. Step 4: Simplify right side
    5,442.80x = 25,144,760.93
  5. Step 5: Solve for x
    x = 25,144,760.93/5,442.80
  6. Step 6: Final answer
    x = 4,619.82

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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.