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Finding the Fourth Proportional to 4,772.69, 6,588.56 and 3,181.99

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Solution

The fourth proportional to 4,772.69, 6,588.56 and 3,181.99 is: 4,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.69 : 6,588.56 = 3,181.99 : x
  2. Step 2: Convert to fraction form
    4,772.69/6,588.56 = 3,181.99/x
  3. Step 3: Cross multiply
    4,772.69x = 6,588.56 × 3,181.99
  4. Step 4: Simplify right side
    4,772.69x = 20,964,683.18
  5. Step 5: Solve for x
    x = 20,964,683.18/4,772.69
  6. Step 6: Final answer
    x = 4,392.63

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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.