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Finding the Fourth Proportional to 6,406.89, 8,841.50 and 3,574.27

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Solution

The fourth proportional to 6,406.89, 8,841.50 and 3,574.27 is: 4,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.89 : 8,841.50 = 3,574.27 : x
  2. Step 2: Convert to fraction form
    6,406.89/8,841.50 = 3,574.27/x
  3. Step 3: Cross multiply
    6,406.89x = 8,841.50 × 3,574.27
  4. Step 4: Simplify right side
    6,406.89x = 31,601,846.13
  5. Step 5: Solve for x
    x = 31,601,846.13/6,406.89
  6. Step 6: Final answer
    x = 4,932.48

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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.