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Finding the Fourth Proportional to 4,160.98, 5,733.21 and 3,040.75

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Solution

The fourth proportional to 4,160.98, 5,733.21 and 3,040.75 is: 4,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.98 : 5,733.21 = 3,040.75 : x
  2. Step 2: Convert to fraction form
    4,160.98/5,733.21 = 3,040.75/x
  3. Step 3: Cross multiply
    4,160.98x = 5,733.21 × 3,040.75
  4. Step 4: Simplify right side
    4,160.98x = 17,433,258.31
  5. Step 5: Solve for x
    x = 17,433,258.31/4,160.98
  6. Step 6: Final answer
    x = 4,189.70

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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.