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Finding the Fourth Proportional to 5,171.04, 7,758 and 2,864.16

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Solution

The fourth proportional to 5,171.04, 7,758 and 2,864.16 is: 4,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.04 : 7,758 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    5,171.04/7,758 = 2,864.16/x
  3. Step 3: Cross multiply
    5,171.04x = 7,758 × 2,864.16
  4. Step 4: Simplify right side
    5,171.04x = 22,220,153.28
  5. Step 5: Solve for x
    x = 22,220,153.28/5,171.04
  6. Step 6: Final answer
    x = 4,297.04

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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.