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Finding the Fourth Proportional to 4,474.94, 6,710.81 and 1,700.87

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Solution

The fourth proportional to 4,474.94, 6,710.81 and 1,700.87 is: 2,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.94 : 6,710.81 = 1,700.87 : x
  2. Step 2: Convert to fraction form
    4,474.94/6,710.81 = 1,700.87/x
  3. Step 3: Cross multiply
    4,474.94x = 6,710.81 × 1,700.87
  4. Step 4: Simplify right side
    4,474.94x = 11,414,198.51
  5. Step 5: Solve for x
    x = 11,414,198.51/4,474.94
  6. Step 6: Final answer
    x = 2,550.70

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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.