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Finding the Fourth Proportional to 5,113.48, 7,672.76 and 2,648.24

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Solution

The fourth proportional to 5,113.48, 7,672.76 and 2,648.24 is: 3,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.48 : 7,672.76 = 2,648.24 : x
  2. Step 2: Convert to fraction form
    5,113.48/7,672.76 = 2,648.24/x
  3. Step 3: Cross multiply
    5,113.48x = 7,672.76 × 2,648.24
  4. Step 4: Simplify right side
    5,113.48x = 20,319,309.94
  5. Step 5: Solve for x
    x = 20,319,309.94/5,113.48
  6. Step 6: Final answer
    x = 3,973.68

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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.