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Finding the Fourth Proportional to 3,892.46, 5,838.62 and 970.72

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Solution

The fourth proportional to 3,892.46, 5,838.62 and 970.72 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.46 : 5,838.62 = 970.72 : x
  2. Step 2: Convert to fraction form
    3,892.46/5,838.62 = 970.72/x
  3. Step 3: Cross multiply
    3,892.46x = 5,838.62 × 970.72
  4. Step 4: Simplify right side
    3,892.46x = 5,667,645.76
  5. Step 5: Solve for x
    x = 5,667,645.76/3,892.46
  6. Step 6: Final answer
    x = 1,456.06

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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.