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Finding the Fourth Proportional to 3,844.11, 5,304.98 and 2,352

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Solution

The fourth proportional to 3,844.11, 5,304.98 and 2,352 is: 3,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.11 : 5,304.98 = 2,352 : x
  2. Step 2: Convert to fraction form
    3,844.11/5,304.98 = 2,352/x
  3. Step 3: Cross multiply
    3,844.11x = 5,304.98 × 2,352
  4. Step 4: Simplify right side
    3,844.11x = 12,477,301.20
  5. Step 5: Solve for x
    x = 12,477,301.20/3,844.11
  6. Step 6: Final answer
    x = 3,245.82

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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.