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Finding the Fourth Proportional to 3,073.68, 4,608.36 and 1,125.63

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Solution

The fourth proportional to 3,073.68, 4,608.36 and 1,125.63 is: 1,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.68 : 4,608.36 = 1,125.63 : x
  2. Step 2: Convert to fraction form
    3,073.68/4,608.36 = 1,125.63/x
  3. Step 3: Cross multiply
    3,073.68x = 4,608.36 × 1,125.63
  4. Step 4: Simplify right side
    3,073.68x = 5,187,308.27
  5. Step 5: Solve for x
    x = 5,187,308.27/3,073.68
  6. Step 6: Final answer
    x = 1,687.65

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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.