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Finding the Fourth Proportional to 4,728.10, 7,092.50 and 1,606.84

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Solution

The fourth proportional to 4,728.10, 7,092.50 and 1,606.84 is: 2,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.10 : 7,092.50 = 1,606.84 : x
  2. Step 2: Convert to fraction form
    4,728.10/7,092.50 = 1,606.84/x
  3. Step 3: Cross multiply
    4,728.10x = 7,092.50 × 1,606.84
  4. Step 4: Simplify right side
    4,728.10x = 11,396,512.70
  5. Step 5: Solve for x
    x = 11,396,512.70/4,728.10
  6. Step 6: Final answer
    x = 2,410.38

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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.