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Finding the Fourth Proportional to 5,840.16, 8,059.42 and 3,744.28

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Solution

The fourth proportional to 5,840.16, 8,059.42 and 3,744.28 is: 5,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.16 : 8,059.42 = 3,744.28 : x
  2. Step 2: Convert to fraction form
    5,840.16/8,059.42 = 3,744.28/x
  3. Step 3: Cross multiply
    5,840.16x = 8,059.42 × 3,744.28
  4. Step 4: Simplify right side
    5,840.16x = 30,176,725.12
  5. Step 5: Solve for x
    x = 30,176,725.12/5,840.16
  6. Step 6: Final answer
    x = 5,167.11

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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.