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Finding the Fourth Proportional to 4,219.12, 5,822.40 and 2,356.12

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Solution

The fourth proportional to 4,219.12, 5,822.40 and 2,356.12 is: 3,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.12 : 5,822.40 = 2,356.12 : x
  2. Step 2: Convert to fraction form
    4,219.12/5,822.40 = 2,356.12/x
  3. Step 3: Cross multiply
    4,219.12x = 5,822.40 × 2,356.12
  4. Step 4: Simplify right side
    4,219.12x = 13,718,273.09
  5. Step 5: Solve for x
    x = 13,718,273.09/4,219.12
  6. Step 6: Final answer
    x = 3,251.45

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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.