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Finding the Fourth Proportional to 3,843.65, 5,763.56 and 2,459.77

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Solution

The fourth proportional to 3,843.65, 5,763.56 and 2,459.77 is: 3,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.65 : 5,763.56 = 2,459.77 : x
  2. Step 2: Convert to fraction form
    3,843.65/5,763.56 = 2,459.77/x
  3. Step 3: Cross multiply
    3,843.65x = 5,763.56 × 2,459.77
  4. Step 4: Simplify right side
    3,843.65x = 14,177,005.27
  5. Step 5: Solve for x
    x = 14,177,005.27/3,843.65
  6. Step 6: Final answer
    x = 3,688.42

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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.