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Finding the Fourth Proportional to 3,730.73, 5,595.22 and 1,649.60

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Solution

The fourth proportional to 3,730.73, 5,595.22 and 1,649.60 is: 2,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.73 : 5,595.22 = 1,649.60 : x
  2. Step 2: Convert to fraction form
    3,730.73/5,595.22 = 1,649.60/x
  3. Step 3: Cross multiply
    3,730.73x = 5,595.22 × 1,649.60
  4. Step 4: Simplify right side
    3,730.73x = 9,229,874.91
  5. Step 5: Solve for x
    x = 9,229,874.91/3,730.73
  6. Step 6: Final answer
    x = 2,474.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.