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Finding the Fourth Proportional to 6,407, 8,835.57 and 4,166.31

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Solution

The fourth proportional to 6,407, 8,835.57 and 4,166.31 is: 5,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 8,835.57 = 4,166.31 : x
  2. Step 2: Convert to fraction form
    6,407/8,835.57 = 4,166.31/x
  3. Step 3: Cross multiply
    6,407x = 8,835.57 × 4,166.31
  4. Step 4: Simplify right side
    6,407x = 36,811,723.65
  5. Step 5: Solve for x
    x = 36,811,723.65/6,407
  6. Step 6: Final answer
    x = 5,745.55

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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.