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Finding the Fourth Proportional to 3,809.75, 5,706.51 and 2,165.45

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Solution

The fourth proportional to 3,809.75, 5,706.51 and 2,165.45 is: 3,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.75 : 5,706.51 = 2,165.45 : x
  2. Step 2: Convert to fraction form
    3,809.75/5,706.51 = 2,165.45/x
  3. Step 3: Cross multiply
    3,809.75x = 5,706.51 × 2,165.45
  4. Step 4: Simplify right side
    3,809.75x = 12,357,133.55
  5. Step 5: Solve for x
    x = 12,357,133.55/3,809.75
  6. Step 6: Final answer
    x = 3,243.56

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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.