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Finding the Fourth Proportional to 3,335.91, 5,004.30 and 996

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Solution

The fourth proportional to 3,335.91, 5,004.30 and 996 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.91 : 5,004.30 = 996 : x
  2. Step 2: Convert to fraction form
    3,335.91/5,004.30 = 996/x
  3. Step 3: Cross multiply
    3,335.91x = 5,004.30 × 996
  4. Step 4: Simplify right side
    3,335.91x = 4,984,282.80
  5. Step 5: Solve for x
    x = 4,984,282.80/3,335.91
  6. Step 6: Final answer
    x = 1,494.13

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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.