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Finding the Fourth Proportional to 2,821.47, 3,889.13 and 2,223.02

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Solution

The fourth proportional to 2,821.47, 3,889.13 and 2,223.02 is: 3,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.47 : 3,889.13 = 2,223.02 : x
  2. Step 2: Convert to fraction form
    2,821.47/3,889.13 = 2,223.02/x
  3. Step 3: Cross multiply
    2,821.47x = 3,889.13 × 2,223.02
  4. Step 4: Simplify right side
    2,821.47x = 8,645,583.21
  5. Step 5: Solve for x
    x = 8,645,583.21/2,821.47
  6. Step 6: Final answer
    x = 3,064.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.