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Finding the Fourth Proportional to 3,744.83, 5,617.38 and 1,404.60

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Solution

The fourth proportional to 3,744.83, 5,617.38 and 1,404.60 is: 2,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.83 : 5,617.38 = 1,404.60 : x
  2. Step 2: Convert to fraction form
    3,744.83/5,617.38 = 1,404.60/x
  3. Step 3: Cross multiply
    3,744.83x = 5,617.38 × 1,404.60
  4. Step 4: Simplify right side
    3,744.83x = 7,890,156.15
  5. Step 5: Solve for x
    x = 7,890,156.15/3,744.83
  6. Step 6: Final answer
    x = 2,106.95

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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.