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Finding the Fourth Proportional to 6,184.20, 8,535 and 3,532.12

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Solution

The fourth proportional to 6,184.20, 8,535 and 3,532.12 is: 4,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.20 : 8,535 = 3,532.12 : x
  2. Step 2: Convert to fraction form
    6,184.20/8,535 = 3,532.12/x
  3. Step 3: Cross multiply
    6,184.20x = 8,535 × 3,532.12
  4. Step 4: Simplify right side
    6,184.20x = 30,146,644.20
  5. Step 5: Solve for x
    x = 30,146,644.20/6,184.20
  6. Step 6: Final answer
    x = 4,874.78

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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.