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Finding the Fourth Proportional to 3,713.69, 5,124.89 and 2,035.06

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Solution

The fourth proportional to 3,713.69, 5,124.89 and 2,035.06 is: 2,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.69 : 5,124.89 = 2,035.06 : x
  2. Step 2: Convert to fraction form
    3,713.69/5,124.89 = 2,035.06/x
  3. Step 3: Cross multiply
    3,713.69x = 5,124.89 × 2,035.06
  4. Step 4: Simplify right side
    3,713.69x = 10,429,435.66
  5. Step 5: Solve for x
    x = 10,429,435.66/3,713.69
  6. Step 6: Final answer
    x = 2,808.38

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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.