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Finding the Fourth Proportional to 4,083.57, 5,633.93 and 2,824.16

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Solution

The fourth proportional to 4,083.57, 5,633.93 and 2,824.16 is: 3,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.57 : 5,633.93 = 2,824.16 : x
  2. Step 2: Convert to fraction form
    4,083.57/5,633.93 = 2,824.16/x
  3. Step 3: Cross multiply
    4,083.57x = 5,633.93 × 2,824.16
  4. Step 4: Simplify right side
    4,083.57x = 15,911,077.46
  5. Step 5: Solve for x
    x = 15,911,077.46/4,083.57
  6. Step 6: Final answer
    x = 3,896.36

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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.