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Finding the Fourth Proportional to 5,214.88, 7,196.49 and 2,824.86

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Solution

The fourth proportional to 5,214.88, 7,196.49 and 2,824.86 is: 3,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.88 : 7,196.49 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    5,214.88/7,196.49 = 2,824.86/x
  3. Step 3: Cross multiply
    5,214.88x = 7,196.49 × 2,824.86
  4. Step 4: Simplify right side
    5,214.88x = 20,329,076.74
  5. Step 5: Solve for x
    x = 20,329,076.74/5,214.88
  6. Step 6: Final answer
    x = 3,898.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.