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Finding the Fourth Proportional to 3,965.01, 5,946.03 and 1,498.52

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Solution

The fourth proportional to 3,965.01, 5,946.03 and 1,498.52 is: 2,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.01 : 5,946.03 = 1,498.52 : x
  2. Step 2: Convert to fraction form
    3,965.01/5,946.03 = 1,498.52/x
  3. Step 3: Cross multiply
    3,965.01x = 5,946.03 × 1,498.52
  4. Step 4: Simplify right side
    3,965.01x = 8,910,215.15
  5. Step 5: Solve for x
    x = 8,910,215.15/3,965.01
  6. Step 6: Final answer
    x = 2,247.21

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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.