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Finding the Fourth Proportional to 4,253.95, 6,369.40 and 2,197.63

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Solution

The fourth proportional to 4,253.95, 6,369.40 and 2,197.63 is: 3,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.95 : 6,369.40 = 2,197.63 : x
  2. Step 2: Convert to fraction form
    4,253.95/6,369.40 = 2,197.63/x
  3. Step 3: Cross multiply
    4,253.95x = 6,369.40 × 2,197.63
  4. Step 4: Simplify right side
    4,253.95x = 13,997,584.52
  5. Step 5: Solve for x
    x = 13,997,584.52/4,253.95
  6. Step 6: Final answer
    x = 3,290.49

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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.