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Finding the Fourth Proportional to 5,696.78, 8,538.46 and 2,573.13

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Solution

The fourth proportional to 5,696.78, 8,538.46 and 2,573.13 is: 3,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.78 : 8,538.46 = 2,573.13 : x
  2. Step 2: Convert to fraction form
    5,696.78/8,538.46 = 2,573.13/x
  3. Step 3: Cross multiply
    5,696.78x = 8,538.46 × 2,573.13
  4. Step 4: Simplify right side
    5,696.78x = 21,970,567.58
  5. Step 5: Solve for x
    x = 21,970,567.58/5,696.78
  6. Step 6: Final answer
    x = 3,856.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.