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Finding the Fourth Proportional to 4,926.56, 6,797.94 and 2,830.28

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Solution

The fourth proportional to 4,926.56, 6,797.94 and 2,830.28 is: 3,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.56 : 6,797.94 = 2,830.28 : x
  2. Step 2: Convert to fraction form
    4,926.56/6,797.94 = 2,830.28/x
  3. Step 3: Cross multiply
    4,926.56x = 6,797.94 × 2,830.28
  4. Step 4: Simplify right side
    4,926.56x = 19,240,073.62
  5. Step 5: Solve for x
    x = 19,240,073.62/4,926.56
  6. Step 6: Final answer
    x = 3,905.38

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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.