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Finding the Fourth Proportional to 5,106.74, 7,660.11 and 1,408.85

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Solution

The fourth proportional to 5,106.74, 7,660.11 and 1,408.85 is: 2,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.74 : 7,660.11 = 1,408.85 : x
  2. Step 2: Convert to fraction form
    5,106.74/7,660.11 = 1,408.85/x
  3. Step 3: Cross multiply
    5,106.74x = 7,660.11 × 1,408.85
  4. Step 4: Simplify right side
    5,106.74x = 10,791,945.97
  5. Step 5: Solve for x
    x = 10,791,945.97/5,106.74
  6. Step 6: Final answer
    x = 2,113.28

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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.