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Finding the Fourth Proportional to 3,456.63, 5,184.46 and 991.66

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Solution

The fourth proportional to 3,456.63, 5,184.46 and 991.66 is: 1,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.63 : 5,184.46 = 991.66 : x
  2. Step 2: Convert to fraction form
    3,456.63/5,184.46 = 991.66/x
  3. Step 3: Cross multiply
    3,456.63x = 5,184.46 × 991.66
  4. Step 4: Simplify right side
    3,456.63x = 5,141,221.60
  5. Step 5: Solve for x
    x = 5,141,221.60/3,456.63
  6. Step 6: Final answer
    x = 1,487.35

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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.