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Finding the Fourth Proportional to 3,085.92, 4,624.56 and 2,216.16

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Solution

The fourth proportional to 3,085.92, 4,624.56 and 2,216.16 is: 3,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.92 : 4,624.56 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,085.92/4,624.56 = 2,216.16/x
  3. Step 3: Cross multiply
    3,085.92x = 4,624.56 × 2,216.16
  4. Step 4: Simplify right side
    3,085.92x = 10,248,764.89
  5. Step 5: Solve for x
    x = 10,248,764.89/3,085.92
  6. Step 6: Final answer
    x = 3,321.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.