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Finding the Fourth Proportional to 3,799.34, 5,243.37 and 2,307.68

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Solution

The fourth proportional to 3,799.34, 5,243.37 and 2,307.68 is: 3,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.34 : 5,243.37 = 2,307.68 : x
  2. Step 2: Convert to fraction form
    3,799.34/5,243.37 = 2,307.68/x
  3. Step 3: Cross multiply
    3,799.34x = 5,243.37 × 2,307.68
  4. Step 4: Simplify right side
    3,799.34x = 12,100,020.08
  5. Step 5: Solve for x
    x = 12,100,020.08/3,799.34
  6. Step 6: Final answer
    x = 3,184.77

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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.