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Finding the Fourth Proportional to 4,171.17, 5,756.22 and 2,308.17

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Solution

The fourth proportional to 4,171.17, 5,756.22 and 2,308.17 is: 3,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.17 : 5,756.22 = 2,308.17 : x
  2. Step 2: Convert to fraction form
    4,171.17/5,756.22 = 2,308.17/x
  3. Step 3: Cross multiply
    4,171.17x = 5,756.22 × 2,308.17
  4. Step 4: Simplify right side
    4,171.17x = 13,286,334.32
  5. Step 5: Solve for x
    x = 13,286,334.32/4,171.17
  6. Step 6: Final answer
    x = 3,185.28

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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.