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Finding the Fourth Proportional to 6,394.10, 8,824.28 and 3,561.44

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Solution

The fourth proportional to 6,394.10, 8,824.28 and 3,561.44 is: 4,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.10 : 8,824.28 = 3,561.44 : x
  2. Step 2: Convert to fraction form
    6,394.10/8,824.28 = 3,561.44/x
  3. Step 3: Cross multiply
    6,394.10x = 8,824.28 × 3,561.44
  4. Step 4: Simplify right side
    6,394.10x = 31,427,081.83
  5. Step 5: Solve for x
    x = 31,427,081.83/6,394.10
  6. Step 6: Final answer
    x = 4,915.02

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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.