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Finding the Fourth Proportional to 5,673.71, 7,824.29 and 3,756.50

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Solution

The fourth proportional to 5,673.71, 7,824.29 and 3,756.50 is: 5,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.71 : 7,824.29 = 3,756.50 : x
  2. Step 2: Convert to fraction form
    5,673.71/7,824.29 = 3,756.50/x
  3. Step 3: Cross multiply
    5,673.71x = 7,824.29 × 3,756.50
  4. Step 4: Simplify right side
    5,673.71x = 29,391,945.39
  5. Step 5: Solve for x
    x = 29,391,945.39/5,673.71
  6. Step 6: Final answer
    x = 5,180.37

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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.