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Finding the Fourth Proportional to 4,164.62, 5,746.62 and 2,674.56

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Solution

The fourth proportional to 4,164.62, 5,746.62 and 2,674.56 is: 3,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.62 : 5,746.62 = 2,674.56 : x
  2. Step 2: Convert to fraction form
    4,164.62/5,746.62 = 2,674.56/x
  3. Step 3: Cross multiply
    4,164.62x = 5,746.62 × 2,674.56
  4. Step 4: Simplify right side
    4,164.62x = 15,369,651.25
  5. Step 5: Solve for x
    x = 15,369,651.25/4,164.62
  6. Step 6: Final answer
    x = 3,690.53

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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.