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Finding the Fourth Proportional to 6,398.10, 8,829.72 and 3,745.71

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Solution

The fourth proportional to 6,398.10, 8,829.72 and 3,745.71 is: 5,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.10 : 8,829.72 = 3,745.71 : x
  2. Step 2: Convert to fraction form
    6,398.10/8,829.72 = 3,745.71/x
  3. Step 3: Cross multiply
    6,398.10x = 8,829.72 × 3,745.71
  4. Step 4: Simplify right side
    6,398.10x = 33,073,570.50
  5. Step 5: Solve for x
    x = 33,073,570.50/6,398.10
  6. Step 6: Final answer
    x = 5,169.28

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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.