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Finding the Fourth Proportional to 5,115.29, 7,671.11 and 1,782.68

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Solution

The fourth proportional to 5,115.29, 7,671.11 and 1,782.68 is: 2,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.29 : 7,671.11 = 1,782.68 : x
  2. Step 2: Convert to fraction form
    5,115.29/7,671.11 = 1,782.68/x
  3. Step 3: Cross multiply
    5,115.29x = 7,671.11 × 1,782.68
  4. Step 4: Simplify right side
    5,115.29x = 13,675,087.11
  5. Step 5: Solve for x
    x = 13,675,087.11/5,115.29
  6. Step 6: Final answer
    x = 2,673.38

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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.