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Finding the Fourth Proportional to 3,822.65, 5,723.04 and 2,351.90

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Solution

The fourth proportional to 3,822.65, 5,723.04 and 2,351.90 is: 3,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.65 : 5,723.04 = 2,351.90 : x
  2. Step 2: Convert to fraction form
    3,822.65/5,723.04 = 2,351.90/x
  3. Step 3: Cross multiply
    3,822.65x = 5,723.04 × 2,351.90
  4. Step 4: Simplify right side
    3,822.65x = 13,460,017.78
  5. Step 5: Solve for x
    x = 13,460,017.78/3,822.65
  6. Step 6: Final answer
    x = 3,521.12

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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.