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Finding the Fourth Proportional to 6,203.64, 8,560.26 and 3,685.80

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Solution

The fourth proportional to 6,203.64, 8,560.26 and 3,685.80 is: 5,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.64 : 8,560.26 = 3,685.80 : x
  2. Step 2: Convert to fraction form
    6,203.64/8,560.26 = 3,685.80/x
  3. Step 3: Cross multiply
    6,203.64x = 8,560.26 × 3,685.80
  4. Step 4: Simplify right side
    6,203.64x = 31,551,406.31
  5. Step 5: Solve for x
    x = 31,551,406.31/6,203.64
  6. Step 6: Final answer
    x = 5,085.95

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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.