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Finding the Fourth Proportional to 4,114.80, 5,716.80 and 4,065.66

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Solution

The fourth proportional to 4,114.80, 5,716.80 and 4,065.66 is: 5,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 5,716.80 = 4,065.66 : x
  2. Step 2: Convert to fraction form
    4,114.80/5,716.80 = 4,065.66/x
  3. Step 3: Cross multiply
    4,114.80x = 5,716.80 × 4,065.66
  4. Step 4: Simplify right side
    4,114.80x = 23,242,565.09
  5. Step 5: Solve for x
    x = 23,242,565.09/4,114.80
  6. Step 6: Final answer
    x = 5,648.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.