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Finding the Fourth Proportional to 3,870.06, 5,794.77 and 2,224.14

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Solution

The fourth proportional to 3,870.06, 5,794.77 and 2,224.14 is: 3,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.06 : 5,794.77 = 2,224.14 : x
  2. Step 2: Convert to fraction form
    3,870.06/5,794.77 = 2,224.14/x
  3. Step 3: Cross multiply
    3,870.06x = 5,794.77 × 2,224.14
  4. Step 4: Simplify right side
    3,870.06x = 12,888,379.75
  5. Step 5: Solve for x
    x = 12,888,379.75/3,870.06
  6. Step 6: Final answer
    x = 3,330.28

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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.