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Finding the Fourth Proportional to 4,713.93, 7,063.20 and 2,865.65

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Solution

The fourth proportional to 4,713.93, 7,063.20 and 2,865.65 is: 4,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.93 : 7,063.20 = 2,865.65 : x
  2. Step 2: Convert to fraction form
    4,713.93/7,063.20 = 2,865.65/x
  3. Step 3: Cross multiply
    4,713.93x = 7,063.20 × 2,865.65
  4. Step 4: Simplify right side
    4,713.93x = 20,240,623.76
  5. Step 5: Solve for x
    x = 20,240,623.76/4,713.93
  6. Step 6: Final answer
    x = 4,293.79

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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.