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Finding the Fourth Proportional to 3,823.65, 5,740.94 and 2,839.50

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Solution

The fourth proportional to 3,823.65, 5,740.94 and 2,839.50 is: 4,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.65 : 5,740.94 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    3,823.65/5,740.94 = 2,839.50/x
  3. Step 3: Cross multiply
    3,823.65x = 5,740.94 × 2,839.50
  4. Step 4: Simplify right side
    3,823.65x = 16,301,399.13
  5. Step 5: Solve for x
    x = 16,301,399.13/3,823.65
  6. Step 6: Final answer
    x = 4,263.31

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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.