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Finding the Fourth Proportional to 4,299.84, 5,928.34 and 3,661.16

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Solution

The fourth proportional to 4,299.84, 5,928.34 and 3,661.16 is: 5,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.84 : 5,928.34 = 3,661.16 : x
  2. Step 2: Convert to fraction form
    4,299.84/5,928.34 = 3,661.16/x
  3. Step 3: Cross multiply
    4,299.84x = 5,928.34 × 3,661.16
  4. Step 4: Simplify right side
    4,299.84x = 21,704,601.27
  5. Step 5: Solve for x
    x = 21,704,601.27/4,299.84
  6. Step 6: Final answer
    x = 5,047.77

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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.