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Finding the Fourth Proportional to 3,821.65, 5,737.94 and 2,837.50

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Solution

The fourth proportional to 3,821.65, 5,737.94 and 2,837.50 is: 4,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.65 : 5,737.94 = 2,837.50 : x
  2. Step 2: Convert to fraction form
    3,821.65/5,737.94 = 2,837.50/x
  3. Step 3: Cross multiply
    3,821.65x = 5,737.94 × 2,837.50
  4. Step 4: Simplify right side
    3,821.65x = 16,281,397.50
  5. Step 5: Solve for x
    x = 16,281,397.50/3,821.65
  6. Step 6: Final answer
    x = 4,260.31

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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.