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Finding the Fourth Proportional to 3,289.93, 4,933.06 and 1,097.47

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Solution

The fourth proportional to 3,289.93, 4,933.06 and 1,097.47 is: 1,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.93 : 4,933.06 = 1,097.47 : x
  2. Step 2: Convert to fraction form
    3,289.93/4,933.06 = 1,097.47/x
  3. Step 3: Cross multiply
    3,289.93x = 4,933.06 × 1,097.47
  4. Step 4: Simplify right side
    3,289.93x = 5,413,885.36
  5. Step 5: Solve for x
    x = 5,413,885.36/3,289.93
  6. Step 6: Final answer
    x = 1,645.59

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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.