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Finding the Fourth Proportional to 3,424.95, 5,137.29 and 2,381.94

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Solution

The fourth proportional to 3,424.95, 5,137.29 and 2,381.94 is: 3,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.95 : 5,137.29 = 2,381.94 : x
  2. Step 2: Convert to fraction form
    3,424.95/5,137.29 = 2,381.94/x
  3. Step 3: Cross multiply
    3,424.95x = 5,137.29 × 2,381.94
  4. Step 4: Simplify right side
    3,424.95x = 12,236,716.54
  5. Step 5: Solve for x
    x = 12,236,716.54/3,424.95
  6. Step 6: Final answer
    x = 3,572.82

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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.