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Finding the Fourth Proportional to 5,392.34, 8,082.75 and 3,848.66

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Solution

The fourth proportional to 5,392.34, 8,082.75 and 3,848.66 is: 5,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.34 : 8,082.75 = 3,848.66 : x
  2. Step 2: Convert to fraction form
    5,392.34/8,082.75 = 3,848.66/x
  3. Step 3: Cross multiply
    5,392.34x = 8,082.75 × 3,848.66
  4. Step 4: Simplify right side
    5,392.34x = 31,107,756.62
  5. Step 5: Solve for x
    x = 31,107,756.62/5,392.34
  6. Step 6: Final answer
    x = 5,768.88

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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.