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Finding the Fourth Proportional to 4,692, 7,032.92 and 3,049.72

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Solution

The fourth proportional to 4,692, 7,032.92 and 3,049.72 is: 4,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692 : 7,032.92 = 3,049.72 : x
  2. Step 2: Convert to fraction form
    4,692/7,032.92 = 3,049.72/x
  3. Step 3: Cross multiply
    4,692x = 7,032.92 × 3,049.72
  4. Step 4: Simplify right side
    4,692x = 21,448,436.78
  5. Step 5: Solve for x
    x = 21,448,436.78/4,692
  6. Step 6: Final answer
    x = 4,571.28

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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.