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Finding the Fourth Proportional to 4,180.98, 6,234.63 and 4,143.51

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Solution

The fourth proportional to 4,180.98, 6,234.63 and 4,143.51 is: 6,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.98 : 6,234.63 = 4,143.51 : x
  2. Step 2: Convert to fraction form
    4,180.98/6,234.63 = 4,143.51/x
  3. Step 3: Cross multiply
    4,180.98x = 6,234.63 × 4,143.51
  4. Step 4: Simplify right side
    4,180.98x = 25,833,251.75
  5. Step 5: Solve for x
    x = 25,833,251.75/4,180.98
  6. Step 6: Final answer
    x = 6,178.76

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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.