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Finding the Fourth Proportional to 3,920.42, 5,880.70 and 1,728.68

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Solution

The fourth proportional to 3,920.42, 5,880.70 and 1,728.68 is: 2,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.42 : 5,880.70 = 1,728.68 : x
  2. Step 2: Convert to fraction form
    3,920.42/5,880.70 = 1,728.68/x
  3. Step 3: Cross multiply
    3,920.42x = 5,880.70 × 1,728.68
  4. Step 4: Simplify right side
    3,920.42x = 10,165,848.48
  5. Step 5: Solve for x
    x = 10,165,848.48/3,920.42
  6. Step 6: Final answer
    x = 2,593.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.