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Finding the Fourth Proportional to 4,219.22, 5,822.54 and 2,305.06

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Solution

The fourth proportional to 4,219.22, 5,822.54 and 2,305.06 is: 3,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.22 : 5,822.54 = 2,305.06 : x
  2. Step 2: Convert to fraction form
    4,219.22/5,822.54 = 2,305.06/x
  3. Step 3: Cross multiply
    4,219.22x = 5,822.54 × 2,305.06
  4. Step 4: Simplify right side
    4,219.22x = 13,421,292.53
  5. Step 5: Solve for x
    x = 13,421,292.53/4,219.22
  6. Step 6: Final answer
    x = 3,180.99

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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.