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Finding the Fourth Proportional to 4,433.06, 6,641.74 and 4,169.66

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Solution

The fourth proportional to 4,433.06, 6,641.74 and 4,169.66 is: 6,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.06 : 6,641.74 = 4,169.66 : x
  2. Step 2: Convert to fraction form
    4,433.06/6,641.74 = 4,169.66/x
  3. Step 3: Cross multiply
    4,433.06x = 6,641.74 × 4,169.66
  4. Step 4: Simplify right side
    4,433.06x = 27,693,797.61
  5. Step 5: Solve for x
    x = 27,693,797.61/4,433.06
  6. Step 6: Final answer
    x = 6,247.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.