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Finding the Fourth Proportional to 5,394.28, 7,449 and 4,065.70

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Solution

The fourth proportional to 5,394.28, 7,449 and 4,065.70 is: 5,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.28 : 7,449 = 4,065.70 : x
  2. Step 2: Convert to fraction form
    5,394.28/7,449 = 4,065.70/x
  3. Step 3: Cross multiply
    5,394.28x = 7,449 × 4,065.70
  4. Step 4: Simplify right side
    5,394.28x = 30,285,399.30
  5. Step 5: Solve for x
    x = 30,285,399.30/5,394.28
  6. Step 6: Final answer
    x = 5,614.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.