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Finding the Fourth Proportional to 5,370.97, 8,048.66 and 3,814.02

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Solution

The fourth proportional to 5,370.97, 8,048.66 and 3,814.02 is: 5,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.97 : 8,048.66 = 3,814.02 : x
  2. Step 2: Convert to fraction form
    5,370.97/8,048.66 = 3,814.02/x
  3. Step 3: Cross multiply
    5,370.97x = 8,048.66 × 3,814.02
  4. Step 4: Simplify right side
    5,370.97x = 30,697,759.75
  5. Step 5: Solve for x
    x = 30,697,759.75/5,370.97
  6. Step 6: Final answer
    x = 5,715.50

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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.