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Finding the Fourth Proportional to 3,766.25, 5,199.23 and 2,648.14

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Solution

The fourth proportional to 3,766.25, 5,199.23 and 2,648.14 is: 3,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.25 : 5,199.23 = 2,648.14 : x
  2. Step 2: Convert to fraction form
    3,766.25/5,199.23 = 2,648.14/x
  3. Step 3: Cross multiply
    3,766.25x = 5,199.23 × 2,648.14
  4. Step 4: Simplify right side
    3,766.25x = 13,768,288.93
  5. Step 5: Solve for x
    x = 13,768,288.93/3,766.25
  6. Step 6: Final answer
    x = 3,655.70

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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.