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Finding the Fourth Proportional to 3,494.75, 5,242.95 and 1,029.47

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Solution

The fourth proportional to 3,494.75, 5,242.95 and 1,029.47 is: 1,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.75 : 5,242.95 = 1,029.47 : x
  2. Step 2: Convert to fraction form
    3,494.75/5,242.95 = 1,029.47/x
  3. Step 3: Cross multiply
    3,494.75x = 5,242.95 × 1,029.47
  4. Step 4: Simplify right side
    3,494.75x = 5,397,433.52
  5. Step 5: Solve for x
    x = 5,397,433.52/3,494.75
  6. Step 6: Final answer
    x = 1,544.44

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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.