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Finding the Fourth Proportional to 5,006.84, 6,901.76 and 3,745.98

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Solution

The fourth proportional to 5,006.84, 6,901.76 and 3,745.98 is: 5,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.84 : 6,901.76 = 3,745.98 : x
  2. Step 2: Convert to fraction form
    5,006.84/6,901.76 = 3,745.98/x
  3. Step 3: Cross multiply
    5,006.84x = 6,901.76 × 3,745.98
  4. Step 4: Simplify right side
    5,006.84x = 25,853,864.29
  5. Step 5: Solve for x
    x = 25,853,864.29/5,006.84
  6. Step 6: Final answer
    x = 5,163.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.