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Finding the Fourth Proportional to 6,410, 8,839.71 and 4,169.31

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Solution

The fourth proportional to 6,410, 8,839.71 and 4,169.31 is: 5,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 8,839.71 = 4,169.31 : x
  2. Step 2: Convert to fraction form
    6,410/8,839.71 = 4,169.31/x
  3. Step 3: Cross multiply
    6,410x = 8,839.71 × 4,169.31
  4. Step 4: Simplify right side
    6,410x = 36,855,491.30
  5. Step 5: Solve for x
    x = 36,855,491.30/6,410
  6. Step 6: Final answer
    x = 5,749.69

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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.