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Finding the Fourth Proportional to 4,152.66, 5,727.69 and 2,894.15

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Solution

The fourth proportional to 4,152.66, 5,727.69 and 2,894.15 is: 3,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.66 : 5,727.69 = 2,894.15 : x
  2. Step 2: Convert to fraction form
    4,152.66/5,727.69 = 2,894.15/x
  3. Step 3: Cross multiply
    4,152.66x = 5,727.69 × 2,894.15
  4. Step 4: Simplify right side
    4,152.66x = 16,576,765.38
  5. Step 5: Solve for x
    x = 16,576,765.38/4,152.66
  6. Step 6: Final answer
    x = 3,991.84

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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.