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Finding the Fourth Proportional to 6,182.57, 8,532.81 and 3,530.13

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Solution

The fourth proportional to 6,182.57, 8,532.81 and 3,530.13 is: 4,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.57 : 8,532.81 = 3,530.13 : x
  2. Step 2: Convert to fraction form
    6,182.57/8,532.81 = 3,530.13/x
  3. Step 3: Cross multiply
    6,182.57x = 8,532.81 × 3,530.13
  4. Step 4: Simplify right side
    6,182.57x = 30,121,928.57
  5. Step 5: Solve for x
    x = 30,121,928.57/6,182.57
  6. Step 6: Final answer
    x = 4,872.07

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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.