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Finding the Fourth Proportional to 5,117.46, 7,676.10 and 1,419.27

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Solution

The fourth proportional to 5,117.46, 7,676.10 and 1,419.27 is: 2,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.46 : 7,676.10 = 1,419.27 : x
  2. Step 2: Convert to fraction form
    5,117.46/7,676.10 = 1,419.27/x
  3. Step 3: Cross multiply
    5,117.46x = 7,676.10 × 1,419.27
  4. Step 4: Simplify right side
    5,117.46x = 10,894,458.45
  5. Step 5: Solve for x
    x = 10,894,458.45/5,117.46
  6. Step 6: Final answer
    x = 2,128.88

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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.