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Finding the Fourth Proportional to 5,117.46, 7,676.13 and 1,419.56

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Solution

The fourth proportional to 5,117.46, 7,676.13 and 1,419.56 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.46 : 7,676.13 = 1,419.56 : x
  2. Step 2: Convert to fraction form
    5,117.46/7,676.13 = 1,419.56/x
  3. Step 3: Cross multiply
    5,117.46x = 7,676.13 × 1,419.56
  4. Step 4: Simplify right side
    5,117.46x = 10,896,722.83
  5. Step 5: Solve for x
    x = 10,896,722.83/5,117.46
  6. Step 6: Final answer
    x = 2,129.32

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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.