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Finding the Fourth Proportional to 5,214.32, 7,195.76 and 2,824.31

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Solution

The fourth proportional to 5,214.32, 7,195.76 and 2,824.31 is: 3,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.32 : 7,195.76 = 2,824.31 : x
  2. Step 2: Convert to fraction form
    5,214.32/7,195.76 = 2,824.31/x
  3. Step 3: Cross multiply
    5,214.32x = 7,195.76 × 2,824.31
  4. Step 4: Simplify right side
    5,214.32x = 20,323,006.83
  5. Step 5: Solve for x
    x = 20,323,006.83/5,214.32
  6. Step 6: Final answer
    x = 3,897.54

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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.