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Finding the Fourth Proportional to 6,295.57, 8,687.35 and 3,643.14

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Solution

The fourth proportional to 6,295.57, 8,687.35 and 3,643.14 is: 5,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.57 : 8,687.35 = 3,643.14 : x
  2. Step 2: Convert to fraction form
    6,295.57/8,687.35 = 3,643.14/x
  3. Step 3: Cross multiply
    6,295.57x = 8,687.35 × 3,643.14
  4. Step 4: Simplify right side
    6,295.57x = 31,649,223.17
  5. Step 5: Solve for x
    x = 31,649,223.17/6,295.57
  6. Step 6: Final answer
    x = 5,027.22

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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.