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Finding the Fourth Proportional to 3,494.52, 5,230.44 and 2,569.86

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Solution

The fourth proportional to 3,494.52, 5,230.44 and 2,569.86 is: 3,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.52 : 5,230.44 = 2,569.86 : x
  2. Step 2: Convert to fraction form
    3,494.52/5,230.44 = 2,569.86/x
  3. Step 3: Cross multiply
    3,494.52x = 5,230.44 × 2,569.86
  4. Step 4: Simplify right side
    3,494.52x = 13,441,498.54
  5. Step 5: Solve for x
    x = 13,441,498.54/3,494.52
  6. Step 6: Final answer
    x = 3,846.45

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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.