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Finding the Fourth Proportional to 5,143.58, 7,696.42 and 4,553.90

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Solution

The fourth proportional to 5,143.58, 7,696.42 and 4,553.90 is: 6,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.58 : 7,696.42 = 4,553.90 : x
  2. Step 2: Convert to fraction form
    5,143.58/7,696.42 = 4,553.90/x
  3. Step 3: Cross multiply
    5,143.58x = 7,696.42 × 4,553.90
  4. Step 4: Simplify right side
    5,143.58x = 35,048,727.04
  5. Step 5: Solve for x
    x = 35,048,727.04/5,143.58
  6. Step 6: Final answer
    x = 6,814.07

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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.