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Finding the Fourth Proportional to 5,659.44, 7,810.04 and 3,175.44

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Solution

The fourth proportional to 5,659.44, 7,810.04 and 3,175.44 is: 4,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.44 : 7,810.04 = 3,175.44 : x
  2. Step 2: Convert to fraction form
    5,659.44/7,810.04 = 3,175.44/x
  3. Step 3: Cross multiply
    5,659.44x = 7,810.04 × 3,175.44
  4. Step 4: Simplify right side
    5,659.44x = 24,800,313.42
  5. Step 5: Solve for x
    x = 24,800,313.42/5,659.44
  6. Step 6: Final answer
    x = 4,382.11

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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.