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Finding the Fourth Proportional to 4,473.70, 6,711.71 and 1,700.42

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Solution

The fourth proportional to 4,473.70, 6,711.71 and 1,700.42 is: 2,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.70 : 6,711.71 = 1,700.42 : x
  2. Step 2: Convert to fraction form
    4,473.70/6,711.71 = 1,700.42/x
  3. Step 3: Cross multiply
    4,473.70x = 6,711.71 × 1,700.42
  4. Step 4: Simplify right side
    4,473.70x = 11,412,725.92
  5. Step 5: Solve for x
    x = 11,412,725.92/4,473.70
  6. Step 6: Final answer
    x = 2,551.07

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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.