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Finding the Fourth Proportional to 3,700.27, 5,104.65 and 2,282.77

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Solution

The fourth proportional to 3,700.27, 5,104.65 and 2,282.77 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.27 : 5,104.65 = 2,282.77 : x
  2. Step 2: Convert to fraction form
    3,700.27/5,104.65 = 2,282.77/x
  3. Step 3: Cross multiply
    3,700.27x = 5,104.65 × 2,282.77
  4. Step 4: Simplify right side
    3,700.27x = 11,652,741.88
  5. Step 5: Solve for x
    x = 11,652,741.88/3,700.27
  6. Step 6: Final answer
    x = 3,149.16

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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.