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Finding the Fourth Proportional to 3,776.06, 5,198.02 and 3,275.75

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Solution

The fourth proportional to 3,776.06, 5,198.02 and 3,275.75 is: 4,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.06 : 5,198.02 = 3,275.75 : x
  2. Step 2: Convert to fraction form
    3,776.06/5,198.02 = 3,275.75/x
  3. Step 3: Cross multiply
    3,776.06x = 5,198.02 × 3,275.75
  4. Step 4: Simplify right side
    3,776.06x = 17,027,379.84
  5. Step 5: Solve for x
    x = 17,027,379.84/3,776.06
  6. Step 6: Final answer
    x = 4,509.30

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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.