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Finding the Fourth Proportional to 4,113.80, 6,195.24 and 3,728.24

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Solution

The fourth proportional to 4,113.80, 6,195.24 and 3,728.24 is: 5,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.80 : 6,195.24 = 3,728.24 : x
  2. Step 2: Convert to fraction form
    4,113.80/6,195.24 = 3,728.24/x
  3. Step 3: Cross multiply
    4,113.80x = 6,195.24 × 3,728.24
  4. Step 4: Simplify right side
    4,113.80x = 23,097,341.58
  5. Step 5: Solve for x
    x = 23,097,341.58/4,113.80
  6. Step 6: Final answer
    x = 5,614.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.