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Finding the Fourth Proportional to 3,823.52, 5,273.48 and 2,564.16

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Solution

The fourth proportional to 3,823.52, 5,273.48 and 2,564.16 is: 3,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,273.48 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,273.48 = 2,564.16/x
  3. Step 3: Cross multiply
    3,823.52x = 5,273.48 × 2,564.16
  4. Step 4: Simplify right side
    3,823.52x = 13,522,046.48
  5. Step 5: Solve for x
    x = 13,522,046.48/3,823.52
  6. Step 6: Final answer
    x = 3,536.54

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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.