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Finding the Fourth Proportional to 3,977.50, 5,488.95 and 2,209.39

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Solution

The fourth proportional to 3,977.50, 5,488.95 and 2,209.39 is: 3,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.50 : 5,488.95 = 2,209.39 : x
  2. Step 2: Convert to fraction form
    3,977.50/5,488.95 = 2,209.39/x
  3. Step 3: Cross multiply
    3,977.50x = 5,488.95 × 2,209.39
  4. Step 4: Simplify right side
    3,977.50x = 12,127,231.24
  5. Step 5: Solve for x
    x = 12,127,231.24/3,977.50
  6. Step 6: Final answer
    x = 3,048.96

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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.