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Finding the Fourth Proportional to 5,142.58, 7,712.25 and 3,267.16

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Solution

The fourth proportional to 5,142.58, 7,712.25 and 3,267.16 is: 4,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.58 : 7,712.25 = 3,267.16 : x
  2. Step 2: Convert to fraction form
    5,142.58/7,712.25 = 3,267.16/x
  3. Step 3: Cross multiply
    5,142.58x = 7,712.25 × 3,267.16
  4. Step 4: Simplify right side
    5,142.58x = 25,197,154.71
  5. Step 5: Solve for x
    x = 25,197,154.71/5,142.58
  6. Step 6: Final answer
    x = 4,899.71

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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.