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Finding the Fourth Proportional to 5,209.07, 7,177.87 and 3,713.81

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Solution

The fourth proportional to 5,209.07, 7,177.87 and 3,713.81 is: 5,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.07 : 7,177.87 = 3,713.81 : x
  2. Step 2: Convert to fraction form
    5,209.07/7,177.87 = 3,713.81/x
  3. Step 3: Cross multiply
    5,209.07x = 7,177.87 × 3,713.81
  4. Step 4: Simplify right side
    5,209.07x = 26,657,245.38
  5. Step 5: Solve for x
    x = 26,657,245.38/5,209.07
  6. Step 6: Final answer
    x = 5,117.47

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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.