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Finding the Fourth Proportional to 3,023.53, 4,538.03 and 1,563.71

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Solution

The fourth proportional to 3,023.53, 4,538.03 and 1,563.71 is: 2,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.53 : 4,538.03 = 1,563.71 : x
  2. Step 2: Convert to fraction form
    3,023.53/4,538.03 = 1,563.71/x
  3. Step 3: Cross multiply
    3,023.53x = 4,538.03 × 1,563.71
  4. Step 4: Simplify right side
    3,023.53x = 7,096,132.38
  5. Step 5: Solve for x
    x = 7,096,132.38/3,023.53
  6. Step 6: Final answer
    x = 2,346.97

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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.