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Finding the Fourth Proportional to 4,096.88, 5,654.17 and 2,328.75

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Solution

The fourth proportional to 4,096.88, 5,654.17 and 2,328.75 is: 3,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.88 : 5,654.17 = 2,328.75 : x
  2. Step 2: Convert to fraction form
    4,096.88/5,654.17 = 2,328.75/x
  3. Step 3: Cross multiply
    4,096.88x = 5,654.17 × 2,328.75
  4. Step 4: Simplify right side
    4,096.88x = 13,167,120.12
  5. Step 5: Solve for x
    x = 13,167,120.12/4,096.88
  6. Step 6: Final answer
    x = 3,213.94

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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.