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Finding the Fourth Proportional to 6,296.46, 8,687.16 and 3,643.20

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Solution

The fourth proportional to 6,296.46, 8,687.16 and 3,643.20 is: 5,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.46 : 8,687.16 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    6,296.46/8,687.16 = 3,643.20/x
  3. Step 3: Cross multiply
    6,296.46x = 8,687.16 × 3,643.20
  4. Step 4: Simplify right side
    6,296.46x = 31,649,061.31
  5. Step 5: Solve for x
    x = 31,649,061.31/6,296.46
  6. Step 6: Final answer
    x = 5,026.48

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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.