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Finding the Fourth Proportional to 4,178.62, 5,762.88 and 3,517

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Solution

The fourth proportional to 4,178.62, 5,762.88 and 3,517 is: 4,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.62 : 5,762.88 = 3,517 : x
  2. Step 2: Convert to fraction form
    4,178.62/5,762.88 = 3,517/x
  3. Step 3: Cross multiply
    4,178.62x = 5,762.88 × 3,517
  4. Step 4: Simplify right side
    4,178.62x = 20,268,048.96
  5. Step 5: Solve for x
    x = 20,268,048.96/4,178.62
  6. Step 6: Final answer
    x = 4,850.42

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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.