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Finding the Fourth Proportional to 3,049.49, 4,574.39 and 858.17

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Solution

The fourth proportional to 3,049.49, 4,574.39 and 858.17 is: 1,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.49 : 4,574.39 = 858.17 : x
  2. Step 2: Convert to fraction form
    3,049.49/4,574.39 = 858.17/x
  3. Step 3: Cross multiply
    3,049.49x = 4,574.39 × 858.17
  4. Step 4: Simplify right side
    3,049.49x = 3,925,611.41
  5. Step 5: Solve for x
    x = 3,925,611.41/3,049.49
  6. Step 6: Final answer
    x = 1,287.30

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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.