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Finding the Fourth Proportional to 5,111.61, 7,665.13 and 2,339.18

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Solution

The fourth proportional to 5,111.61, 7,665.13 and 2,339.18 is: 3,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.61 : 7,665.13 = 2,339.18 : x
  2. Step 2: Convert to fraction form
    5,111.61/7,665.13 = 2,339.18/x
  3. Step 3: Cross multiply
    5,111.61x = 7,665.13 × 2,339.18
  4. Step 4: Simplify right side
    5,111.61x = 17,930,112.14
  5. Step 5: Solve for x
    x = 17,930,112.14/5,111.61
  6. Step 6: Final answer
    x = 3,507.73

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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.