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Finding the Fourth Proportional to 3,567.88, 5,346.06 and 2,197

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Solution

The fourth proportional to 3,567.88, 5,346.06 and 2,197 is: 3,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.88 : 5,346.06 = 2,197 : x
  2. Step 2: Convert to fraction form
    3,567.88/5,346.06 = 2,197/x
  3. Step 3: Cross multiply
    3,567.88x = 5,346.06 × 2,197
  4. Step 4: Simplify right side
    3,567.88x = 11,745,293.82
  5. Step 5: Solve for x
    x = 11,745,293.82/3,567.88
  6. Step 6: Final answer
    x = 3,291.95

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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.