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Finding the Fourth Proportional to 4,139.52, 6,211.36 and 1,948

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Solution

The fourth proportional to 4,139.52, 6,211.36 and 1,948 is: 2,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.52 : 6,211.36 = 1,948 : x
  2. Step 2: Convert to fraction form
    4,139.52/6,211.36 = 1,948/x
  3. Step 3: Cross multiply
    4,139.52x = 6,211.36 × 1,948
  4. Step 4: Simplify right side
    4,139.52x = 12,099,729.28
  5. Step 5: Solve for x
    x = 12,099,729.28/4,139.52
  6. Step 6: Final answer
    x = 2,922.98

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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.