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Finding the Fourth Proportional to 5,884.65, 8,120.30 and 3,494.44

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Solution

The fourth proportional to 5,884.65, 8,120.30 and 3,494.44 is: 4,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.65 : 8,120.30 = 3,494.44 : x
  2. Step 2: Convert to fraction form
    5,884.65/8,120.30 = 3,494.44/x
  3. Step 3: Cross multiply
    5,884.65x = 8,120.30 × 3,494.44
  4. Step 4: Simplify right side
    5,884.65x = 28,375,913.47
  5. Step 5: Solve for x
    x = 28,375,913.47/5,884.65
  6. Step 6: Final answer
    x = 4,822.02

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1.5x scale

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.