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Finding the Fourth Proportional to 4,295.84, 5,921.36 and 2,896.16

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Solution

The fourth proportional to 4,295.84, 5,921.36 and 2,896.16 is: 3,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.84 : 5,921.36 = 2,896.16 : x
  2. Step 2: Convert to fraction form
    4,295.84/5,921.36 = 2,896.16/x
  3. Step 3: Cross multiply
    4,295.84x = 5,921.36 × 2,896.16
  4. Step 4: Simplify right side
    4,295.84x = 17,149,205.98
  5. Step 5: Solve for x
    x = 17,149,205.98/4,295.84
  6. Step 6: Final answer
    x = 3,992.05

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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.