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Finding the Fourth Proportional to 4,664.78, 6,438.75 and 3,727.10

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Solution

The fourth proportional to 4,664.78, 6,438.75 and 3,727.10 is: 5,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.78 : 6,438.75 = 3,727.10 : x
  2. Step 2: Convert to fraction form
    4,664.78/6,438.75 = 3,727.10/x
  3. Step 3: Cross multiply
    4,664.78x = 6,438.75 × 3,727.10
  4. Step 4: Simplify right side
    4,664.78x = 23,997,865.13
  5. Step 5: Solve for x
    x = 23,997,865.13/4,664.78
  6. Step 6: Final answer
    x = 5,144.48

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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.