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Finding the Fourth Proportional to 4,096.66, 5,653.14 and 2,418.13

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Solution

The fourth proportional to 4,096.66, 5,653.14 and 2,418.13 is: 3,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.66 : 5,653.14 = 2,418.13 : x
  2. Step 2: Convert to fraction form
    4,096.66/5,653.14 = 2,418.13/x
  3. Step 3: Cross multiply
    4,096.66x = 5,653.14 × 2,418.13
  4. Step 4: Simplify right side
    4,096.66x = 13,670,027.43
  5. Step 5: Solve for x
    x = 13,670,027.43/4,096.66
  6. Step 6: Final answer
    x = 3,336.87

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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.