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Finding the Fourth Proportional to 5,442.86, 7,510.92 and 3,085.14

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Solution

The fourth proportional to 5,442.86, 7,510.92 and 3,085.14 is: 4,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.86 : 7,510.92 = 3,085.14 : x
  2. Step 2: Convert to fraction form
    5,442.86/7,510.92 = 3,085.14/x
  3. Step 3: Cross multiply
    5,442.86x = 7,510.92 × 3,085.14
  4. Step 4: Simplify right side
    5,442.86x = 23,172,239.73
  5. Step 5: Solve for x
    x = 23,172,239.73/5,442.86
  6. Step 6: Final answer
    x = 4,257.36

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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.