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Finding the Fourth Proportional to 5,071.39, 6,998.03 and 2,975.11

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Solution

The fourth proportional to 5,071.39, 6,998.03 and 2,975.11 is: 4,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.39 : 6,998.03 = 2,975.11 : x
  2. Step 2: Convert to fraction form
    5,071.39/6,998.03 = 2,975.11/x
  3. Step 3: Cross multiply
    5,071.39x = 6,998.03 × 2,975.11
  4. Step 4: Simplify right side
    5,071.39x = 20,819,909.03
  5. Step 5: Solve for x
    x = 20,819,909.03/5,071.39
  6. Step 6: Final answer
    x = 4,105.37

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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.