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Finding the Fourth Proportional to 4,772.58, 6,586.20 and 2,677.20

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Solution

The fourth proportional to 4,772.58, 6,586.20 and 2,677.20 is: 3,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.58 : 6,586.20 = 2,677.20 : x
  2. Step 2: Convert to fraction form
    4,772.58/6,586.20 = 2,677.20/x
  3. Step 3: Cross multiply
    4,772.58x = 6,586.20 × 2,677.20
  4. Step 4: Simplify right side
    4,772.58x = 17,632,574.64
  5. Step 5: Solve for x
    x = 17,632,574.64/4,772.58
  6. Step 6: Final answer
    x = 3,694.56

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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.