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Finding the Fourth Proportional to 3,774.48, 5,209.12 and 2,377.52

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Solution

The fourth proportional to 3,774.48, 5,209.12 and 2,377.52 is: 3,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.48 : 5,209.12 = 2,377.52 : x
  2. Step 2: Convert to fraction form
    3,774.48/5,209.12 = 2,377.52/x
  3. Step 3: Cross multiply
    3,774.48x = 5,209.12 × 2,377.52
  4. Step 4: Simplify right side
    3,774.48x = 12,384,786.98
  5. Step 5: Solve for x
    x = 12,384,786.98/3,774.48
  6. Step 6: Final answer
    x = 3,281.19

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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.