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Finding the Fourth Proportional to 4,632.05, 6,947.36 and 1,344.47

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Solution

The fourth proportional to 4,632.05, 6,947.36 and 1,344.47 is: 2,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.05 : 6,947.36 = 1,344.47 : x
  2. Step 2: Convert to fraction form
    4,632.05/6,947.36 = 1,344.47/x
  3. Step 3: Cross multiply
    4,632.05x = 6,947.36 × 1,344.47
  4. Step 4: Simplify right side
    4,632.05x = 9,340,475.64
  5. Step 5: Solve for x
    x = 9,340,475.64/4,632.05
  6. Step 6: Final answer
    x = 2,016.49

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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.