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Finding the Fourth Proportional to 4,608.44, 6,914.00 and 1,488.38

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Solution

The fourth proportional to 4,608.44, 6,914.00 and 1,488.38 is: 2,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.44 : 6,914.00 = 1,488.38 : x
  2. Step 2: Convert to fraction form
    4,608.44/6,914.00 = 1,488.38/x
  3. Step 3: Cross multiply
    4,608.44x = 6,914.00 × 1,488.38
  4. Step 4: Simplify right side
    4,608.44x = 10,290,680.33
  5. Step 5: Solve for x
    x = 10,290,680.33/4,608.44
  6. Step 6: Final answer
    x = 2,233.01

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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.