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Finding the Fourth Proportional to 6,232.86, 8,601.52 and 3,580.80

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Solution

The fourth proportional to 6,232.86, 8,601.52 and 3,580.80 is: 4,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.86 : 8,601.52 = 3,580.80 : x
  2. Step 2: Convert to fraction form
    6,232.86/8,601.52 = 3,580.80/x
  3. Step 3: Cross multiply
    6,232.86x = 8,601.52 × 3,580.80
  4. Step 4: Simplify right side
    6,232.86x = 30,800,322.82
  5. Step 5: Solve for x
    x = 30,800,322.82/6,232.86
  6. Step 6: Final answer
    x = 4,941.60

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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.