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Finding the Fourth Proportional to 5,378.64, 7,422.84 and 3,283.44

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Solution

The fourth proportional to 5,378.64, 7,422.84 and 3,283.44 is: 4,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.64 : 7,422.84 = 3,283.44 : x
  2. Step 2: Convert to fraction form
    5,378.64/7,422.84 = 3,283.44/x
  3. Step 3: Cross multiply
    5,378.64x = 7,422.84 × 3,283.44
  4. Step 4: Simplify right side
    5,378.64x = 24,372,449.77
  5. Step 5: Solve for x
    x = 24,372,449.77/5,378.64
  6. Step 6: Final answer
    x = 4,531.34

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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.