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Finding the Fourth Proportional to 4,712.57, 7,069.04 and 1,751.79

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Solution

The fourth proportional to 4,712.57, 7,069.04 and 1,751.79 is: 2,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.57 : 7,069.04 = 1,751.79 : x
  2. Step 2: Convert to fraction form
    4,712.57/7,069.04 = 1,751.79/x
  3. Step 3: Cross multiply
    4,712.57x = 7,069.04 × 1,751.79
  4. Step 4: Simplify right side
    4,712.57x = 12,383,473.58
  5. Step 5: Solve for x
    x = 12,383,473.58/4,712.57
  6. Step 6: Final answer
    x = 2,627.75

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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.