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Finding the Fourth Proportional to 3,461.47, 5,192.89 and 996.31

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Solution

The fourth proportional to 3,461.47, 5,192.89 and 996.31 is: 1,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.47 : 5,192.89 = 996.31 : x
  2. Step 2: Convert to fraction form
    3,461.47/5,192.89 = 996.31/x
  3. Step 3: Cross multiply
    3,461.47x = 5,192.89 × 996.31
  4. Step 4: Simplify right side
    3,461.47x = 5,173,728.24
  5. Step 5: Solve for x
    x = 5,173,728.24/3,461.47
  6. Step 6: Final answer
    x = 1,494.66

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1.5x scale

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.