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Finding the Fourth Proportional to 5,709.29, 7,880.13 and 3,716.37

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Solution

The fourth proportional to 5,709.29, 7,880.13 and 3,716.37 is: 5,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.29 : 7,880.13 = 3,716.37 : x
  2. Step 2: Convert to fraction form
    5,709.29/7,880.13 = 3,716.37/x
  3. Step 3: Cross multiply
    5,709.29x = 7,880.13 × 3,716.37
  4. Step 4: Simplify right side
    5,709.29x = 29,285,478.73
  5. Step 5: Solve for x
    x = 29,285,478.73/5,709.29
  6. Step 6: Final answer
    x = 5,129.45

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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.