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Finding the Fourth Proportional to 5,413, 7,467.60 and 3,497.92

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Solution

The fourth proportional to 5,413, 7,467.60 and 3,497.92 is: 4,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 7,467.60 = 3,497.92 : x
  2. Step 2: Convert to fraction form
    5,413/7,467.60 = 3,497.92/x
  3. Step 3: Cross multiply
    5,413x = 7,467.60 × 3,497.92
  4. Step 4: Simplify right side
    5,413x = 26,121,067.39
  5. Step 5: Solve for x
    x = 26,121,067.39/5,413
  6. Step 6: Final answer
    x = 4,825.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.