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Finding the Fourth Proportional to 4,219.08, 5,823 and 2,356.08

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Solution

The fourth proportional to 4,219.08, 5,823 and 2,356.08 is: 3,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.08 : 5,823 = 2,356.08 : x
  2. Step 2: Convert to fraction form
    4,219.08/5,823 = 2,356.08/x
  3. Step 3: Cross multiply
    4,219.08x = 5,823 × 2,356.08
  4. Step 4: Simplify right side
    4,219.08x = 13,719,453.84
  5. Step 5: Solve for x
    x = 13,719,453.84/4,219.08
  6. Step 6: Final answer
    x = 3,251.76

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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.