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Finding the Fourth Proportional to 4,926.65, 6,798.97 and 2,802.37

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Solution

The fourth proportional to 4,926.65, 6,798.97 and 2,802.37 is: 3,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.65 : 6,798.97 = 2,802.37 : x
  2. Step 2: Convert to fraction form
    4,926.65/6,798.97 = 2,802.37/x
  3. Step 3: Cross multiply
    4,926.65x = 6,798.97 × 2,802.37
  4. Step 4: Simplify right side
    4,926.65x = 19,053,215.55
  5. Step 5: Solve for x
    x = 19,053,215.55/4,926.65
  6. Step 6: Final answer
    x = 3,867.38

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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.