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Finding the Fourth Proportional to 3,139.88, 4,709.86 and 948.48

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Solution

The fourth proportional to 3,139.88, 4,709.86 and 948.48 is: 1,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.88 : 4,709.86 = 948.48 : x
  2. Step 2: Convert to fraction form
    3,139.88/4,709.86 = 948.48/x
  3. Step 3: Cross multiply
    3,139.88x = 4,709.86 × 948.48
  4. Step 4: Simplify right side
    3,139.88x = 4,467,208.01
  5. Step 5: Solve for x
    x = 4,467,208.01/3,139.88
  6. Step 6: Final answer
    x = 1,422.73

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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.