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Finding the Fourth Proportional to 3,493.70, 5,239.52 and 1,027.93

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Solution

The fourth proportional to 3,493.70, 5,239.52 and 1,027.93 is: 1,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.70 : 5,239.52 = 1,027.93 : x
  2. Step 2: Convert to fraction form
    3,493.70/5,239.52 = 1,027.93/x
  3. Step 3: Cross multiply
    3,493.70x = 5,239.52 × 1,027.93
  4. Step 4: Simplify right side
    3,493.70x = 5,385,859.79
  5. Step 5: Solve for x
    x = 5,385,859.79/3,493.70
  6. Step 6: Final answer
    x = 1,541.59

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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.