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Finding the Fourth Proportional to 6,293.70, 8,686.44 and 3,642.57

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Solution

The fourth proportional to 6,293.70, 8,686.44 and 3,642.57 is: 5,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.70 : 8,686.44 = 3,642.57 : x
  2. Step 2: Convert to fraction form
    6,293.70/8,686.44 = 3,642.57/x
  3. Step 3: Cross multiply
    6,293.70x = 8,686.44 × 3,642.57
  4. Step 4: Simplify right side
    6,293.70x = 31,640,965.75
  5. Step 5: Solve for x
    x = 31,640,965.75/6,293.70
  6. Step 6: Final answer
    x = 5,027.40

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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.