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Finding the Fourth Proportional to 5,299.77, 7,952.39 and 2,377.49

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Solution

The fourth proportional to 5,299.77, 7,952.39 and 2,377.49 is: 3,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.77 : 7,952.39 = 2,377.49 : x
  2. Step 2: Convert to fraction form
    5,299.77/7,952.39 = 2,377.49/x
  3. Step 3: Cross multiply
    5,299.77x = 7,952.39 × 2,377.49
  4. Step 4: Simplify right side
    5,299.77x = 18,906,715.81
  5. Step 5: Solve for x
    x = 18,906,715.81/5,299.77
  6. Step 6: Final answer
    x = 3,567.46

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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.