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Finding the Fourth Proportional to 5,209.59, 7,189.20 and 2,851.74

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Solution

The fourth proportional to 5,209.59, 7,189.20 and 2,851.74 is: 3,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.59 : 7,189.20 = 2,851.74 : x
  2. Step 2: Convert to fraction form
    5,209.59/7,189.20 = 2,851.74/x
  3. Step 3: Cross multiply
    5,209.59x = 7,189.20 × 2,851.74
  4. Step 4: Simplify right side
    5,209.59x = 20,501,729.21
  5. Step 5: Solve for x
    x = 20,501,729.21/5,209.59
  6. Step 6: Final answer
    x = 3,935.38

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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.