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Finding the Fourth Proportional to 3,471.33, 5,207.85 and 1,827.42

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Solution

The fourth proportional to 3,471.33, 5,207.85 and 1,827.42 is: 2,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.33 : 5,207.85 = 1,827.42 : x
  2. Step 2: Convert to fraction form
    3,471.33/5,207.85 = 1,827.42/x
  3. Step 3: Cross multiply
    3,471.33x = 5,207.85 × 1,827.42
  4. Step 4: Simplify right side
    3,471.33x = 9,516,929.25
  5. Step 5: Solve for x
    x = 9,516,929.25/3,471.33
  6. Step 6: Final answer
    x = 2,741.58

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1.5x scale

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.