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Finding the Fourth Proportional to 4,759.58, 7,139.52 and 1,427.78

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Solution

The fourth proportional to 4,759.58, 7,139.52 and 1,427.78 is: 2,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.58 : 7,139.52 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    4,759.58/7,139.52 = 1,427.78/x
  3. Step 3: Cross multiply
    4,759.58x = 7,139.52 × 1,427.78
  4. Step 4: Simplify right side
    4,759.58x = 10,193,663.87
  5. Step 5: Solve for x
    x = 10,193,663.87/4,759.58
  6. Step 6: Final answer
    x = 2,141.71

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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.