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Finding the Fourth Proportional to 5,407.62, 7,462.40 and 3,049.76

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Solution

The fourth proportional to 5,407.62, 7,462.40 and 3,049.76 is: 4,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.62 : 7,462.40 = 3,049.76 : x
  2. Step 2: Convert to fraction form
    5,407.62/7,462.40 = 3,049.76/x
  3. Step 3: Cross multiply
    5,407.62x = 7,462.40 × 3,049.76
  4. Step 4: Simplify right side
    5,407.62x = 22,758,529.02
  5. Step 5: Solve for x
    x = 22,758,529.02/5,407.62
  6. Step 6: Final answer
    x = 4,208.60

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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.