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Finding the Fourth Proportional to 3,049.84, 4,574.76 and 858.57

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Solution

The fourth proportional to 3,049.84, 4,574.76 and 858.57 is: 1,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.84 : 4,574.76 = 858.57 : x
  2. Step 2: Convert to fraction form
    3,049.84/4,574.76 = 858.57/x
  3. Step 3: Cross multiply
    3,049.84x = 4,574.76 × 858.57
  4. Step 4: Simplify right side
    3,049.84x = 3,927,743.99
  5. Step 5: Solve for x
    x = 3,927,743.99/3,049.84
  6. Step 6: Final answer
    x = 1,287.85

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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.