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Finding the Fourth Proportional to 2,825.76, 4,238.64 and 2,275.36

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Solution

The fourth proportional to 2,825.76, 4,238.64 and 2,275.36 is: 3,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.76 : 4,238.64 = 2,275.36 : x
  2. Step 2: Convert to fraction form
    2,825.76/4,238.64 = 2,275.36/x
  3. Step 3: Cross multiply
    2,825.76x = 4,238.64 × 2,275.36
  4. Step 4: Simplify right side
    2,825.76x = 9,644,431.91
  5. Step 5: Solve for x
    x = 9,644,431.91/2,825.76
  6. Step 6: Final answer
    x = 3,413.04

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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.