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Finding the Fourth Proportional to 6,290, 8,680.40 and 3,496.04

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Solution

The fourth proportional to 6,290, 8,680.40 and 3,496.04 is: 4,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290 : 8,680.40 = 3,496.04 : x
  2. Step 2: Convert to fraction form
    6,290/8,680.40 = 3,496.04/x
  3. Step 3: Cross multiply
    6,290x = 8,680.40 × 3,496.04
  4. Step 4: Simplify right side
    6,290x = 30,347,025.62
  5. Step 5: Solve for x
    x = 30,347,025.62/6,290
  6. Step 6: Final answer
    x = 4,824.65

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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.