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Finding the Fourth Proportional to 4,723.62, 7,085.50 and 1,260.88

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Solution

The fourth proportional to 4,723.62, 7,085.50 and 1,260.88 is: 1,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.62 : 7,085.50 = 1,260.88 : x
  2. Step 2: Convert to fraction form
    4,723.62/7,085.50 = 1,260.88/x
  3. Step 3: Cross multiply
    4,723.62x = 7,085.50 × 1,260.88
  4. Step 4: Simplify right side
    4,723.62x = 8,933,965.24
  5. Step 5: Solve for x
    x = 8,933,965.24/4,723.62
  6. Step 6: Final answer
    x = 1,891.34

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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.