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Finding the Fourth Proportional to 5,096.59, 7,643.97 and 2,323.36

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Solution

The fourth proportional to 5,096.59, 7,643.97 and 2,323.36 is: 3,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.59 : 7,643.97 = 2,323.36 : x
  2. Step 2: Convert to fraction form
    5,096.59/7,643.97 = 2,323.36/x
  3. Step 3: Cross multiply
    5,096.59x = 7,643.97 × 2,323.36
  4. Step 4: Simplify right side
    5,096.59x = 17,759,694.14
  5. Step 5: Solve for x
    x = 17,759,694.14/5,096.59
  6. Step 6: Final answer
    x = 3,484.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.