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Finding the Fourth Proportional to 4,957.16, 7,424.78 and 3,643.20

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Solution

The fourth proportional to 4,957.16, 7,424.78 and 3,643.20 is: 5,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.16 : 7,424.78 = 3,643.20 : x
  2. Step 2: Convert to fraction form
    4,957.16/7,424.78 = 3,643.20/x
  3. Step 3: Cross multiply
    4,957.16x = 7,424.78 × 3,643.20
  4. Step 4: Simplify right side
    4,957.16x = 27,049,940.28
  5. Step 5: Solve for x
    x = 27,049,940.28/4,957.16
  6. Step 6: Final answer
    x = 5,456.75

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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.