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Finding the Fourth Proportional to 4,365.66, 6,546.33 and 2,285.34

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Solution

The fourth proportional to 4,365.66, 6,546.33 and 2,285.34 is: 3,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.66 : 6,546.33 = 2,285.34 : x
  2. Step 2: Convert to fraction form
    4,365.66/6,546.33 = 2,285.34/x
  3. Step 3: Cross multiply
    4,365.66x = 6,546.33 × 2,285.34
  4. Step 4: Simplify right side
    4,365.66x = 14,960,589.80
  5. Step 5: Solve for x
    x = 14,960,589.80/4,365.66
  6. Step 6: Final answer
    x = 3,426.88

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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.