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Finding the Fourth Proportional to 5,701.69, 7,866.06 and 3,711.52

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Solution

The fourth proportional to 5,701.69, 7,866.06 and 3,711.52 is: 5,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.69 : 7,866.06 = 3,711.52 : x
  2. Step 2: Convert to fraction form
    5,701.69/7,866.06 = 3,711.52/x
  3. Step 3: Cross multiply
    5,701.69x = 7,866.06 × 3,711.52
  4. Step 4: Simplify right side
    5,701.69x = 29,195,055.80
  5. Step 5: Solve for x
    x = 29,195,055.80/5,701.69
  6. Step 6: Final answer
    x = 5,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.