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Finding the Fourth Proportional to 4,900.84, 6,763.33 and 2,776.26

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Solution

The fourth proportional to 4,900.84, 6,763.33 and 2,776.26 is: 3,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.84 : 6,763.33 = 2,776.26 : x
  2. Step 2: Convert to fraction form
    4,900.84/6,763.33 = 2,776.26/x
  3. Step 3: Cross multiply
    4,900.84x = 6,763.33 × 2,776.26
  4. Step 4: Simplify right side
    4,900.84x = 18,776,791.38
  5. Step 5: Solve for x
    x = 18,776,791.38/4,900.84
  6. Step 6: Final answer
    x = 3,831.34

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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.