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Finding the Fourth Proportional to 5,085.71, 7,017.89 and 3,096

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Solution

The fourth proportional to 5,085.71, 7,017.89 and 3,096 is: 4,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.71 : 7,017.89 = 3,096 : x
  2. Step 2: Convert to fraction form
    5,085.71/7,017.89 = 3,096/x
  3. Step 3: Cross multiply
    5,085.71x = 7,017.89 × 3,096
  4. Step 4: Simplify right side
    5,085.71x = 21,727,371.96
  5. Step 5: Solve for x
    x = 21,727,371.96/5,085.71
  6. Step 6: Final answer
    x = 4,272.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.