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Finding the Fourth Proportional to 4,292.94, 5,927.60 and 3,296.64

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Solution

The fourth proportional to 4,292.94, 5,927.60 and 3,296.64 is: 4,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.94 : 5,927.60 = 3,296.64 : x
  2. Step 2: Convert to fraction form
    4,292.94/5,927.60 = 3,296.64/x
  3. Step 3: Cross multiply
    4,292.94x = 5,927.60 × 3,296.64
  4. Step 4: Simplify right side
    4,292.94x = 19,541,163.26
  5. Step 5: Solve for x
    x = 19,541,163.26/4,292.94
  6. Step 6: Final answer
    x = 4,551.93

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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.