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Finding the Fourth Proportional to 6,431.86, 8,871.20 and 4,541.48

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Solution

The fourth proportional to 6,431.86, 8,871.20 and 4,541.48 is: 6,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.86 : 8,871.20 = 4,541.48 : x
  2. Step 2: Convert to fraction form
    6,431.86/8,871.20 = 4,541.48/x
  3. Step 3: Cross multiply
    6,431.86x = 8,871.20 × 4,541.48
  4. Step 4: Simplify right side
    6,431.86x = 40,288,310.31
  5. Step 5: Solve for x
    x = 40,288,310.31/6,431.86
  6. Step 6: Final answer
    x = 6,263.87

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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.