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Finding the Fourth Proportional to 4,652.88, 6,976.41 and 1,728.78

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Solution

The fourth proportional to 4,652.88, 6,976.41 and 1,728.78 is: 2,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.88 : 6,976.41 = 1,728.78 : x
  2. Step 2: Convert to fraction form
    4,652.88/6,976.41 = 1,728.78/x
  3. Step 3: Cross multiply
    4,652.88x = 6,976.41 × 1,728.78
  4. Step 4: Simplify right side
    4,652.88x = 12,060,678.08
  5. Step 5: Solve for x
    x = 12,060,678.08/4,652.88
  6. Step 6: Final answer
    x = 2,592.09

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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.