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Finding the Fourth Proportional to 3,229.54, 4,845.10 and 1,038.48

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Solution

The fourth proportional to 3,229.54, 4,845.10 and 1,038.48 is: 1,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.54 : 4,845.10 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    3,229.54/4,845.10 = 1,038.48/x
  3. Step 3: Cross multiply
    3,229.54x = 4,845.10 × 1,038.48
  4. Step 4: Simplify right side
    3,229.54x = 5,031,539.45
  5. Step 5: Solve for x
    x = 5,031,539.45/3,229.54
  6. Step 6: Final answer
    x = 1,557.97

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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.