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Finding the Fourth Proportional to 3,744.94, 5,613.69 and 2,102.86

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Solution

The fourth proportional to 3,744.94, 5,613.69 and 2,102.86 is: 3,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.94 : 5,613.69 = 2,102.86 : x
  2. Step 2: Convert to fraction form
    3,744.94/5,613.69 = 2,102.86/x
  3. Step 3: Cross multiply
    3,744.94x = 5,613.69 × 2,102.86
  4. Step 4: Simplify right side
    3,744.94x = 11,804,804.15
  5. Step 5: Solve for x
    x = 11,804,804.15/3,744.94
  6. Step 6: Final answer
    x = 3,152.20

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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.