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Finding the Fourth Proportional to 3,287.52, 4,538.06 and 2,224.77

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Solution

The fourth proportional to 3,287.52, 4,538.06 and 2,224.77 is: 3,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,538.06 = 2,224.77 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,538.06 = 2,224.77/x
  3. Step 3: Cross multiply
    3,287.52x = 4,538.06 × 2,224.77
  4. Step 4: Simplify right side
    3,287.52x = 10,096,119.95
  5. Step 5: Solve for x
    x = 10,096,119.95/3,287.52
  6. Step 6: Final answer
    x = 3,071.04

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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.