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Finding the Fourth Proportional to 5,646.96, 7,794.88 and 3,408.92

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Solution

The fourth proportional to 5,646.96, 7,794.88 and 3,408.92 is: 4,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.96 : 7,794.88 = 3,408.92 : x
  2. Step 2: Convert to fraction form
    5,646.96/7,794.88 = 3,408.92/x
  3. Step 3: Cross multiply
    5,646.96x = 7,794.88 × 3,408.92
  4. Step 4: Simplify right side
    5,646.96x = 26,572,122.33
  5. Step 5: Solve for x
    x = 26,572,122.33/5,646.96
  6. Step 6: Final answer
    x = 4,705.56

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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.