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Finding the Fourth Proportional to 3,139.38, 4,708.94 and 948.05

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Solution

The fourth proportional to 3,139.38, 4,708.94 and 948.05 is: 1,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.38 : 4,708.94 = 948.05 : x
  2. Step 2: Convert to fraction form
    3,139.38/4,708.94 = 948.05/x
  3. Step 3: Cross multiply
    3,139.38x = 4,708.94 × 948.05
  4. Step 4: Simplify right side
    3,139.38x = 4,464,289.39
  5. Step 5: Solve for x
    x = 4,464,289.39/3,139.38
  6. Step 6: Final answer
    x = 1,422.03

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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.