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Finding the Fourth Proportional to 6,184.57, 8,535.57 and 3,532.13

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Solution

The fourth proportional to 6,184.57, 8,535.57 and 3,532.13 is: 4,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.57 : 8,535.57 = 3,532.13 : x
  2. Step 2: Convert to fraction form
    6,184.57/8,535.57 = 3,532.13/x
  3. Step 3: Cross multiply
    6,184.57x = 8,535.57 × 3,532.13
  4. Step 4: Simplify right side
    6,184.57x = 30,148,742.86
  5. Step 5: Solve for x
    x = 30,148,742.86/6,184.57
  6. Step 6: Final answer
    x = 4,874.83

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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.