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Finding the Fourth Proportional to 5,378, 8,066.01 and 1,481.90

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Solution

The fourth proportional to 5,378, 8,066.01 and 1,481.90 is: 2,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 8,066.01 = 1,481.90 : x
  2. Step 2: Convert to fraction form
    5,378/8,066.01 = 1,481.90/x
  3. Step 3: Cross multiply
    5,378x = 8,066.01 × 1,481.90
  4. Step 4: Simplify right side
    5,378x = 11,953,020.22
  5. Step 5: Solve for x
    x = 11,953,020.22/5,378
  6. Step 6: Final answer
    x = 2,222.58

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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.