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Finding the Fourth Proportional to 3,442.69, 5,167.45 and 1,594.22

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Solution

The fourth proportional to 3,442.69, 5,167.45 and 1,594.22 is: 2,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.69 : 5,167.45 = 1,594.22 : x
  2. Step 2: Convert to fraction form
    3,442.69/5,167.45 = 1,594.22/x
  3. Step 3: Cross multiply
    3,442.69x = 5,167.45 × 1,594.22
  4. Step 4: Simplify right side
    3,442.69x = 8,238,019.33
  5. Step 5: Solve for x
    x = 8,238,019.33/3,442.69
  6. Step 6: Final answer
    x = 2,392.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.