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Finding the Fourth Proportional to 3,744.93, 5,606.51 and 2,180.16

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Solution

The fourth proportional to 3,744.93, 5,606.51 and 2,180.16 is: 3,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.93 : 5,606.51 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    3,744.93/5,606.51 = 2,180.16/x
  3. Step 3: Cross multiply
    3,744.93x = 5,606.51 × 2,180.16
  4. Step 4: Simplify right side
    3,744.93x = 12,223,077.94
  5. Step 5: Solve for x
    x = 12,223,077.94/3,744.93
  6. Step 6: Final answer
    x = 3,263.90

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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.