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Finding the Fourth Proportional to 3,799.64, 5,242.06 and 2,306.99

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Solution

The fourth proportional to 3,799.64, 5,242.06 and 2,306.99 is: 3,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.64 : 5,242.06 = 2,306.99 : x
  2. Step 2: Convert to fraction form
    3,799.64/5,242.06 = 2,306.99/x
  3. Step 3: Cross multiply
    3,799.64x = 5,242.06 × 2,306.99
  4. Step 4: Simplify right side
    3,799.64x = 12,093,380.00
  5. Step 5: Solve for x
    x = 12,093,380.00/3,799.64
  6. Step 6: Final answer
    x = 3,182.77

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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.