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Finding the Fourth Proportional to 3,729.69, 5,594.24 and 1,649.77

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Solution

The fourth proportional to 3,729.69, 5,594.24 and 1,649.77 is: 2,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.69 : 5,594.24 = 1,649.77 : x
  2. Step 2: Convert to fraction form
    3,729.69/5,594.24 = 1,649.77/x
  3. Step 3: Cross multiply
    3,729.69x = 5,594.24 × 1,649.77
  4. Step 4: Simplify right side
    3,729.69x = 9,229,199.46
  5. Step 5: Solve for x
    x = 9,229,199.46/3,729.69
  6. Step 6: Final answer
    x = 2,474.52

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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.