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Finding the Fourth Proportional to 5,718.53, 7,892.33 and 3,200.78

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Solution

The fourth proportional to 5,718.53, 7,892.33 and 3,200.78 is: 4,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.53 : 7,892.33 = 3,200.78 : x
  2. Step 2: Convert to fraction form
    5,718.53/7,892.33 = 3,200.78/x
  3. Step 3: Cross multiply
    5,718.53x = 7,892.33 × 3,200.78
  4. Step 4: Simplify right side
    5,718.53x = 25,261,556.55
  5. Step 5: Solve for x
    x = 25,261,556.55/5,718.53
  6. Step 6: Final answer
    x = 4,417.50

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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.