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Finding the Fourth Proportional to 5,129.68, 7,694.18 and 2,009.10

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Solution

The fourth proportional to 5,129.68, 7,694.18 and 2,009.10 is: 3,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.68 : 7,694.18 = 2,009.10 : x
  2. Step 2: Convert to fraction form
    5,129.68/7,694.18 = 2,009.10/x
  3. Step 3: Cross multiply
    5,129.68x = 7,694.18 × 2,009.10
  4. Step 4: Simplify right side
    5,129.68x = 15,458,377.04
  5. Step 5: Solve for x
    x = 15,458,377.04/5,129.68
  6. Step 6: Final answer
    x = 3,013.52

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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.