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Finding the Fourth Proportional to 5,239.32, 7,856.92 and 1,951.66

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Solution

The fourth proportional to 5,239.32, 7,856.92 and 1,951.66 is: 2,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.32 : 7,856.92 = 1,951.66 : x
  2. Step 2: Convert to fraction form
    5,239.32/7,856.92 = 1,951.66/x
  3. Step 3: Cross multiply
    5,239.32x = 7,856.92 × 1,951.66
  4. Step 4: Simplify right side
    5,239.32x = 15,334,036.49
  5. Step 5: Solve for x
    x = 15,334,036.49/5,239.32
  6. Step 6: Final answer
    x = 2,926.72

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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.