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Finding the Fourth Proportional to 5,442.92, 7,511.02 and 3,085.16

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Solution

The fourth proportional to 5,442.92, 7,511.02 and 3,085.16 is: 4,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.92 : 7,511.02 = 3,085.16 : x
  2. Step 2: Convert to fraction form
    5,442.92/7,511.02 = 3,085.16/x
  3. Step 3: Cross multiply
    5,442.92x = 7,511.02 × 3,085.16
  4. Step 4: Simplify right side
    5,442.92x = 23,172,698.46
  5. Step 5: Solve for x
    x = 23,172,698.46/5,442.92
  6. Step 6: Final answer
    x = 4,257.40

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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.