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Finding the Fourth Proportional to 3,229.24, 4,844.55 and 1,038.19

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Solution

The fourth proportional to 3,229.24, 4,844.55 and 1,038.19 is: 1,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.24 : 4,844.55 = 1,038.19 : x
  2. Step 2: Convert to fraction form
    3,229.24/4,844.55 = 1,038.19/x
  3. Step 3: Cross multiply
    3,229.24x = 4,844.55 × 1,038.19
  4. Step 4: Simplify right side
    3,229.24x = 5,029,539.14
  5. Step 5: Solve for x
    x = 5,029,539.14/3,229.24
  6. Step 6: Final answer
    x = 1,557.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.