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Finding the Fourth Proportional to 4,926.88, 6,791.76 and 4,077.28

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Solution

The fourth proportional to 4,926.88, 6,791.76 and 4,077.28 is: 5,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.88 : 6,791.76 = 4,077.28 : x
  2. Step 2: Convert to fraction form
    4,926.88/6,791.76 = 4,077.28/x
  3. Step 3: Cross multiply
    4,926.88x = 6,791.76 × 4,077.28
  4. Step 4: Simplify right side
    4,926.88x = 27,691,907.21
  5. Step 5: Solve for x
    x = 27,691,907.21/4,926.88
  6. Step 6: Final answer
    x = 5,620.58

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1.5x scale

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.