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Finding the Fourth Proportional to 4,275.73, 5,901 and 2,597.56

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Solution

The fourth proportional to 4,275.73, 5,901 and 2,597.56 is: 3,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.73 : 5,901 = 2,597.56 : x
  2. Step 2: Convert to fraction form
    4,275.73/5,901 = 2,597.56/x
  3. Step 3: Cross multiply
    4,275.73x = 5,901 × 2,597.56
  4. Step 4: Simplify right side
    4,275.73x = 15,328,201.56
  5. Step 5: Solve for x
    x = 15,328,201.56/4,275.73
  6. Step 6: Final answer
    x = 3,584.93

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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.