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Finding the Fourth Proportional to 4,474.52, 6,710.47 and 1,806.11

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Solution

The fourth proportional to 4,474.52, 6,710.47 and 1,806.11 is: 2,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.52 : 6,710.47 = 1,806.11 : x
  2. Step 2: Convert to fraction form
    4,474.52/6,710.47 = 1,806.11/x
  3. Step 3: Cross multiply
    4,474.52x = 6,710.47 × 1,806.11
  4. Step 4: Simplify right side
    4,474.52x = 12,119,846.97
  5. Step 5: Solve for x
    x = 12,119,846.97/4,474.52
  6. Step 6: Final answer
    x = 2,708.64

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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.