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Finding the Fourth Proportional to 5,928.46, 8,894.04 and 2,032.63

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Solution

The fourth proportional to 5,928.46, 8,894.04 and 2,032.63 is: 3,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.46 : 8,894.04 = 2,032.63 : x
  2. Step 2: Convert to fraction form
    5,928.46/8,894.04 = 2,032.63/x
  3. Step 3: Cross multiply
    5,928.46x = 8,894.04 × 2,032.63
  4. Step 4: Simplify right side
    5,928.46x = 18,078,292.53
  5. Step 5: Solve for x
    x = 18,078,292.53/5,928.46
  6. Step 6: Final answer
    x = 3,049.41

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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.