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Finding the Fourth Proportional to 5,596.42, 7,723.08 and 3,078.80

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Solution

The fourth proportional to 5,596.42, 7,723.08 and 3,078.80 is: 4,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.42 : 7,723.08 = 3,078.80 : x
  2. Step 2: Convert to fraction form
    5,596.42/7,723.08 = 3,078.80/x
  3. Step 3: Cross multiply
    5,596.42x = 7,723.08 × 3,078.80
  4. Step 4: Simplify right side
    5,596.42x = 23,777,818.70
  5. Step 5: Solve for x
    x = 23,777,818.70/5,596.42
  6. Step 6: Final answer
    x = 4,248.76

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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.