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Finding the Fourth Proportional to 3,764.77, 5,645.95 and 3,519.07

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Solution

The fourth proportional to 3,764.77, 5,645.95 and 3,519.07 is: 5,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.77 : 5,645.95 = 3,519.07 : x
  2. Step 2: Convert to fraction form
    3,764.77/5,645.95 = 3,519.07/x
  3. Step 3: Cross multiply
    3,764.77x = 5,645.95 × 3,519.07
  4. Step 4: Simplify right side
    3,764.77x = 19,868,475.67
  5. Step 5: Solve for x
    x = 19,868,475.67/3,764.77
  6. Step 6: Final answer
    x = 5,277.48

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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.