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Finding the Fourth Proportional to 3,773.44, 5,195.76 and 3,275.20

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Solution

The fourth proportional to 3,773.44, 5,195.76 and 3,275.20 is: 4,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.44 : 5,195.76 = 3,275.20 : x
  2. Step 2: Convert to fraction form
    3,773.44/5,195.76 = 3,275.20/x
  3. Step 3: Cross multiply
    3,773.44x = 5,195.76 × 3,275.20
  4. Step 4: Simplify right side
    3,773.44x = 17,017,153.15
  5. Step 5: Solve for x
    x = 17,017,153.15/3,773.44
  6. Step 6: Final answer
    x = 4,509.72

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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.