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Finding the Fourth Proportional to 4,096.65, 5,654.04 and 2,418.46

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Solution

The fourth proportional to 4,096.65, 5,654.04 and 2,418.46 is: 3,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.65 : 5,654.04 = 2,418.46 : x
  2. Step 2: Convert to fraction form
    4,096.65/5,654.04 = 2,418.46/x
  3. Step 3: Cross multiply
    4,096.65x = 5,654.04 × 2,418.46
  4. Step 4: Simplify right side
    4,096.65x = 13,674,069.58
  5. Step 5: Solve for x
    x = 13,674,069.58/4,096.65
  6. Step 6: Final answer
    x = 3,337.87

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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.