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Finding the Fourth Proportional to 5,102.62, 7,041.19 and 2,864.18

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Solution

The fourth proportional to 5,102.62, 7,041.19 and 2,864.18 is: 3,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.62 : 7,041.19 = 2,864.18 : x
  2. Step 2: Convert to fraction form
    5,102.62/7,041.19 = 2,864.18/x
  3. Step 3: Cross multiply
    5,102.62x = 7,041.19 × 2,864.18
  4. Step 4: Simplify right side
    5,102.62x = 20,167,235.57
  5. Step 5: Solve for x
    x = 20,167,235.57/5,102.62
  6. Step 6: Final answer
    x = 3,952.33

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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.