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Finding the Fourth Proportional to 4,517, 6,233.54 and 2,653.96

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Solution

The fourth proportional to 4,517, 6,233.54 and 2,653.96 is: 3,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517 : 6,233.54 = 2,653.96 : x
  2. Step 2: Convert to fraction form
    4,517/6,233.54 = 2,653.96/x
  3. Step 3: Cross multiply
    4,517x = 6,233.54 × 2,653.96
  4. Step 4: Simplify right side
    4,517x = 16,543,565.82
  5. Step 5: Solve for x
    x = 16,543,565.82/4,517
  6. Step 6: Final answer
    x = 3,662.51

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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.