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Finding the Fourth Proportional to 3,196.80, 4,377.60 and 3,139.20

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Solution

The fourth proportional to 3,196.80, 4,377.60 and 3,139.20 is: 4,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,377.60 = 3,139.20 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,377.60 = 3,139.20/x
  3. Step 3: Cross multiply
    3,196.80x = 4,377.60 × 3,139.20
  4. Step 4: Simplify right side
    3,196.80x = 13,742,161.92
  5. Step 5: Solve for x
    x = 13,742,161.92/3,196.80
  6. Step 6: Final answer
    x = 4,298.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.