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Finding the Fourth Proportional to 6,105.17, 8,421.50 and 3,863.16

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Solution

The fourth proportional to 6,105.17, 8,421.50 and 3,863.16 is: 5,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.17 : 8,421.50 = 3,863.16 : x
  2. Step 2: Convert to fraction form
    6,105.17/8,421.50 = 3,863.16/x
  3. Step 3: Cross multiply
    6,105.17x = 8,421.50 × 3,863.16
  4. Step 4: Simplify right side
    6,105.17x = 32,533,582.62
  5. Step 5: Solve for x
    x = 32,533,582.62/6,105.17
  6. Step 6: Final answer
    x = 5,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.