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Finding the Fourth Proportional to 4,143.66, 6,216.42 and 2,197.23

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Solution

The fourth proportional to 4,143.66, 6,216.42 and 2,197.23 is: 3,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.66 : 6,216.42 = 2,197.23 : x
  2. Step 2: Convert to fraction form
    4,143.66/6,216.42 = 2,197.23/x
  3. Step 3: Cross multiply
    4,143.66x = 6,216.42 × 2,197.23
  4. Step 4: Simplify right side
    4,143.66x = 13,658,904.52
  5. Step 5: Solve for x
    x = 13,658,904.52/4,143.66
  6. Step 6: Final answer
    x = 3,296.34

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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.