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Finding the Fourth Proportional to 4,474.92, 6,707.52 and 2,007.12

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Solution

The fourth proportional to 4,474.92, 6,707.52 and 2,007.12 is: 3,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.92 : 6,707.52 = 2,007.12 : x
  2. Step 2: Convert to fraction form
    4,474.92/6,707.52 = 2,007.12/x
  3. Step 3: Cross multiply
    4,474.92x = 6,707.52 × 2,007.12
  4. Step 4: Simplify right side
    4,474.92x = 13,462,797.54
  5. Step 5: Solve for x
    x = 13,462,797.54/4,474.92
  6. Step 6: Final answer
    x = 3,008.50

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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.