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Finding the Fourth Proportional to 4,305.70, 6,458.55 and 3,139.30

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Solution

The fourth proportional to 4,305.70, 6,458.55 and 3,139.30 is: 4,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.70 : 6,458.55 = 3,139.30 : x
  2. Step 2: Convert to fraction form
    4,305.70/6,458.55 = 3,139.30/x
  3. Step 3: Cross multiply
    4,305.70x = 6,458.55 × 3,139.30
  4. Step 4: Simplify right side
    4,305.70x = 20,275,326.02
  5. Step 5: Solve for x
    x = 20,275,326.02/4,305.70
  6. Step 6: Final answer
    x = 4,708.95

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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.