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Finding the Fourth Proportional to 6,182.41, 8,534.68 and 3,529.31

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Solution

The fourth proportional to 6,182.41, 8,534.68 and 3,529.31 is: 4,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.41 : 8,534.68 = 3,529.31 : x
  2. Step 2: Convert to fraction form
    6,182.41/8,534.68 = 3,529.31/x
  3. Step 3: Cross multiply
    6,182.41x = 8,534.68 × 3,529.31
  4. Step 4: Simplify right side
    6,182.41x = 30,121,493.21
  5. Step 5: Solve for x
    x = 30,121,493.21/6,182.41
  6. Step 6: Final answer
    x = 4,872.13

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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.