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Finding the Fourth Proportional to 3,437.69, 4,739.39 and 2,731.88

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Solution

The fourth proportional to 3,437.69, 4,739.39 and 2,731.88 is: 3,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.69 : 4,739.39 = 2,731.88 : x
  2. Step 2: Convert to fraction form
    3,437.69/4,739.39 = 2,731.88/x
  3. Step 3: Cross multiply
    3,437.69x = 4,739.39 × 2,731.88
  4. Step 4: Simplify right side
    3,437.69x = 12,947,407.40
  5. Step 5: Solve for x
    x = 12,947,407.40/3,437.69
  6. Step 6: Final answer
    x = 3,766.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.