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Finding the Fourth Proportional to 5,234.30, 7,223.30 and 2,844.26

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Solution

The fourth proportional to 5,234.30, 7,223.30 and 2,844.26 is: 3,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.30 : 7,223.30 = 2,844.26 : x
  2. Step 2: Convert to fraction form
    5,234.30/7,223.30 = 2,844.26/x
  3. Step 3: Cross multiply
    5,234.30x = 7,223.30 × 2,844.26
  4. Step 4: Simplify right side
    5,234.30x = 20,544,943.26
  5. Step 5: Solve for x
    x = 20,544,943.26/5,234.30
  6. Step 6: Final answer
    x = 3,925.06

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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.