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Finding the Fourth Proportional to 4,180.52, 6,233.93 and 4,143.05

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Solution

The fourth proportional to 4,180.52, 6,233.93 and 4,143.05 is: 6,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.52 : 6,233.93 = 4,143.05 : x
  2. Step 2: Convert to fraction form
    4,180.52/6,233.93 = 4,143.05/x
  3. Step 3: Cross multiply
    4,180.52x = 6,233.93 × 4,143.05
  4. Step 4: Simplify right side
    4,180.52x = 25,827,462.87
  5. Step 5: Solve for x
    x = 25,827,462.87/4,180.52
  6. Step 6: Final answer
    x = 6,178.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.