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Finding the Fourth Proportional to 5,651.42, 7,799.16 and 3,412.86

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Solution

The fourth proportional to 5,651.42, 7,799.16 and 3,412.86 is: 4,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.42 : 7,799.16 = 3,412.86 : x
  2. Step 2: Convert to fraction form
    5,651.42/7,799.16 = 3,412.86/x
  3. Step 3: Cross multiply
    5,651.42x = 7,799.16 × 3,412.86
  4. Step 4: Simplify right side
    5,651.42x = 26,617,441.20
  5. Step 5: Solve for x
    x = 26,617,441.20/5,651.42
  6. Step 6: Final answer
    x = 4,709.87

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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.