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Finding the Fourth Proportional to 4,742.85, 7,114.29 and 2,552.61

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Solution

The fourth proportional to 4,742.85, 7,114.29 and 2,552.61 is: 3,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.85 : 7,114.29 = 2,552.61 : x
  2. Step 2: Convert to fraction form
    4,742.85/7,114.29 = 2,552.61/x
  3. Step 3: Cross multiply
    4,742.85x = 7,114.29 × 2,552.61
  4. Step 4: Simplify right side
    4,742.85x = 18,160,007.80
  5. Step 5: Solve for x
    x = 18,160,007.80/4,742.85
  6. Step 6: Final answer
    x = 3,828.92

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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.