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Finding the Fourth Proportional to 3,828.64, 5,729.50 and 2,347.40

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Solution

The fourth proportional to 3,828.64, 5,729.50 and 2,347.40 is: 3,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.64 : 5,729.50 = 2,347.40 : x
  2. Step 2: Convert to fraction form
    3,828.64/5,729.50 = 2,347.40/x
  3. Step 3: Cross multiply
    3,828.64x = 5,729.50 × 2,347.40
  4. Step 4: Simplify right side
    3,828.64x = 13,449,428.30
  5. Step 5: Solve for x
    x = 13,449,428.30/3,828.64
  6. Step 6: Final answer
    x = 3,512.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.