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Finding the Fourth Proportional to 4,860.65, 6,707.66 and 2,764.78

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Solution

The fourth proportional to 4,860.65, 6,707.66 and 2,764.78 is: 3,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.65 : 6,707.66 = 2,764.78 : x
  2. Step 2: Convert to fraction form
    4,860.65/6,707.66 = 2,764.78/x
  3. Step 3: Cross multiply
    4,860.65x = 6,707.66 × 2,764.78
  4. Step 4: Simplify right side
    4,860.65x = 18,545,204.21
  5. Step 5: Solve for x
    x = 18,545,204.21/4,860.65
  6. Step 6: Final answer
    x = 3,815.38

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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.