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Finding the Fourth Proportional to 5,115.70, 7,672.59 and 1,417.44

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Solution

The fourth proportional to 5,115.70, 7,672.59 and 1,417.44 is: 2,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.70 : 7,672.59 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    5,115.70/7,672.59 = 1,417.44/x
  3. Step 3: Cross multiply
    5,115.70x = 7,672.59 × 1,417.44
  4. Step 4: Simplify right side
    5,115.70x = 10,875,435.97
  5. Step 5: Solve for x
    x = 10,875,435.97/5,115.70
  6. Step 6: Final answer
    x = 2,125.89

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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.