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Finding the Fourth Proportional to 3,493.93, 5,240.49 and 1,302.42

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Solution

The fourth proportional to 3,493.93, 5,240.49 and 1,302.42 is: 1,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.93 : 5,240.49 = 1,302.42 : x
  2. Step 2: Convert to fraction form
    3,493.93/5,240.49 = 1,302.42/x
  3. Step 3: Cross multiply
    3,493.93x = 5,240.49 × 1,302.42
  4. Step 4: Simplify right side
    3,493.93x = 6,825,318.99
  5. Step 5: Solve for x
    x = 6,825,318.99/3,493.93
  6. Step 6: Final answer
    x = 1,953.48

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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.