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Finding the Fourth Proportional to 3,598.68, 4,966.20 and 2,272.98

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Solution

The fourth proportional to 3,598.68, 4,966.20 and 2,272.98 is: 3,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.68 : 4,966.20 = 2,272.98 : x
  2. Step 2: Convert to fraction form
    3,598.68/4,966.20 = 2,272.98/x
  3. Step 3: Cross multiply
    3,598.68x = 4,966.20 × 2,272.98
  4. Step 4: Simplify right side
    3,598.68x = 11,288,073.28
  5. Step 5: Solve for x
    x = 11,288,073.28/3,598.68
  6. Step 6: Final answer
    x = 3,136.73

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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.