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Finding the Fourth Proportional to 5,652.42, 7,801.44 and 3,414.66

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Solution

The fourth proportional to 5,652.42, 7,801.44 and 3,414.66 is: 4,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.42 : 7,801.44 = 3,414.66 : x
  2. Step 2: Convert to fraction form
    5,652.42/7,801.44 = 3,414.66/x
  3. Step 3: Cross multiply
    5,652.42x = 7,801.44 × 3,414.66
  4. Step 4: Simplify right side
    5,652.42x = 26,639,265.11
  5. Step 5: Solve for x
    x = 26,639,265.11/5,652.42
  6. Step 6: Final answer
    x = 4,712.90

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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.