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Finding the Fourth Proportional to 3,335.92, 5,004.42 and 1,027.42

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Solution

The fourth proportional to 3,335.92, 5,004.42 and 1,027.42 is: 1,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.92 : 5,004.42 = 1,027.42 : x
  2. Step 2: Convert to fraction form
    3,335.92/5,004.42 = 1,027.42/x
  3. Step 3: Cross multiply
    3,335.92x = 5,004.42 × 1,027.42
  4. Step 4: Simplify right side
    3,335.92x = 5,141,641.20
  5. Step 5: Solve for x
    x = 5,141,641.20/3,335.92
  6. Step 6: Final answer
    x = 1,541.30

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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.