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Finding the Fourth Proportional to 4,737.25, 7,109.16 and 1,659.25

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Solution

The fourth proportional to 4,737.25, 7,109.16 and 1,659.25 is: 2,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.25 : 7,109.16 = 1,659.25 : x
  2. Step 2: Convert to fraction form
    4,737.25/7,109.16 = 1,659.25/x
  3. Step 3: Cross multiply
    4,737.25x = 7,109.16 × 1,659.25
  4. Step 4: Simplify right side
    4,737.25x = 11,795,873.73
  5. Step 5: Solve for x
    x = 11,795,873.73/4,737.25
  6. Step 6: Final answer
    x = 2,490.03

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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.