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Finding the Fourth Proportional to 6,183.68, 8,531.76 and 3,530.24

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Solution

The fourth proportional to 6,183.68, 8,531.76 and 3,530.24 is: 4,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.68 : 8,531.76 = 3,530.24 : x
  2. Step 2: Convert to fraction form
    6,183.68/8,531.76 = 3,530.24/x
  3. Step 3: Cross multiply
    6,183.68x = 8,531.76 × 3,530.24
  4. Step 4: Simplify right side
    6,183.68x = 30,119,160.42
  5. Step 5: Solve for x
    x = 30,119,160.42/6,183.68
  6. Step 6: Final answer
    x = 4,870.75

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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.