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Finding the Fourth Proportional to 6,356.44, 8,764.94 and 4,340.05

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Solution

The fourth proportional to 6,356.44, 8,764.94 and 4,340.05 is: 5,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.44 : 8,764.94 = 4,340.05 : x
  2. Step 2: Convert to fraction form
    6,356.44/8,764.94 = 4,340.05/x
  3. Step 3: Cross multiply
    6,356.44x = 8,764.94 × 4,340.05
  4. Step 4: Simplify right side
    6,356.44x = 38,040,266.78
  5. Step 5: Solve for x
    x = 38,040,266.78/6,356.44
  6. Step 6: Final answer
    x = 5,984.52

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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.