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Finding the Fourth Proportional to 4,165.17, 5,747.94 and 2,302.17

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Solution

The fourth proportional to 4,165.17, 5,747.94 and 2,302.17 is: 3,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.17 : 5,747.94 = 2,302.17 : x
  2. Step 2: Convert to fraction form
    4,165.17/5,747.94 = 2,302.17/x
  3. Step 3: Cross multiply
    4,165.17x = 5,747.94 × 2,302.17
  4. Step 4: Simplify right side
    4,165.17x = 13,232,735.03
  5. Step 5: Solve for x
    x = 13,232,735.03/4,165.17
  6. Step 6: Final answer
    x = 3,177.00

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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.