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Finding the Fourth Proportional to 4,814.54, 6,637.64 and 3,823.10

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Solution

The fourth proportional to 4,814.54, 6,637.64 and 3,823.10 is: 5,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.54 : 6,637.64 = 3,823.10 : x
  2. Step 2: Convert to fraction form
    4,814.54/6,637.64 = 3,823.10/x
  3. Step 3: Cross multiply
    4,814.54x = 6,637.64 × 3,823.10
  4. Step 4: Simplify right side
    4,814.54x = 25,376,361.48
  5. Step 5: Solve for x
    x = 25,376,361.48/4,814.54
  6. Step 6: Final answer
    x = 5,270.78

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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.