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Finding the Fourth Proportional to 5,651.08, 8,466.30 and 3,182.20

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Solution

The fourth proportional to 5,651.08, 8,466.30 and 3,182.20 is: 4,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.08 : 8,466.30 = 3,182.20 : x
  2. Step 2: Convert to fraction form
    5,651.08/8,466.30 = 3,182.20/x
  3. Step 3: Cross multiply
    5,651.08x = 8,466.30 × 3,182.20
  4. Step 4: Simplify right side
    5,651.08x = 26,941,459.86
  5. Step 5: Solve for x
    x = 26,941,459.86/5,651.08
  6. Step 6: Final answer
    x = 4,767.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.