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Finding the Fourth Proportional to 5,928.84, 8,894.60 and 2,033.01

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Solution

The fourth proportional to 5,928.84, 8,894.60 and 2,033.01 is: 3,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.84 : 8,894.60 = 2,033.01 : x
  2. Step 2: Convert to fraction form
    5,928.84/8,894.60 = 2,033.01/x
  3. Step 3: Cross multiply
    5,928.84x = 8,894.60 × 2,033.01
  4. Step 4: Simplify right side
    5,928.84x = 18,082,810.75
  5. Step 5: Solve for x
    x = 18,082,810.75/5,928.84
  6. Step 6: Final answer
    x = 3,049.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.