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Finding the Fourth Proportional to 5,174.34, 7,758.33 and 2,712.15

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Solution

The fourth proportional to 5,174.34, 7,758.33 and 2,712.15 is: 4,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.34 : 7,758.33 = 2,712.15 : x
  2. Step 2: Convert to fraction form
    5,174.34/7,758.33 = 2,712.15/x
  3. Step 3: Cross multiply
    5,174.34x = 7,758.33 × 2,712.15
  4. Step 4: Simplify right side
    5,174.34x = 21,041,754.71
  5. Step 5: Solve for x
    x = 21,041,754.71/5,174.34
  6. Step 6: Final answer
    x = 4,066.56

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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.