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Finding the Fourth Proportional to 6,375.42, 8,798.13 and 3,857.49

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Solution

The fourth proportional to 6,375.42, 8,798.13 and 3,857.49 is: 5,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.42 : 8,798.13 = 3,857.49 : x
  2. Step 2: Convert to fraction form
    6,375.42/8,798.13 = 3,857.49/x
  3. Step 3: Cross multiply
    6,375.42x = 8,798.13 × 3,857.49
  4. Step 4: Simplify right side
    6,375.42x = 33,938,698.49
  5. Step 5: Solve for x
    x = 33,938,698.49/6,375.42
  6. Step 6: Final answer
    x = 5,323.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.