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Finding the Fourth Proportional to 5,796.42, 8,000.20 and 3,278.53

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Solution

The fourth proportional to 5,796.42, 8,000.20 and 3,278.53 is: 4,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.42 : 8,000.20 = 3,278.53 : x
  2. Step 2: Convert to fraction form
    5,796.42/8,000.20 = 3,278.53/x
  3. Step 3: Cross multiply
    5,796.42x = 8,000.20 × 3,278.53
  4. Step 4: Simplify right side
    5,796.42x = 26,228,895.71
  5. Step 5: Solve for x
    x = 26,228,895.71/5,796.42
  6. Step 6: Final answer
    x = 4,525.02

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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.