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Finding the Fourth Proportional to 3,744.90, 5,617.48 and 1,404.66

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Solution

The fourth proportional to 3,744.90, 5,617.48 and 1,404.66 is: 2,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.90 : 5,617.48 = 1,404.66 : x
  2. Step 2: Convert to fraction form
    3,744.90/5,617.48 = 1,404.66/x
  3. Step 3: Cross multiply
    3,744.90x = 5,617.48 × 1,404.66
  4. Step 4: Simplify right side
    3,744.90x = 7,890,649.46
  5. Step 5: Solve for x
    x = 7,890,649.46/3,744.90
  6. Step 6: Final answer
    x = 2,107.04

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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.