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Finding the Fourth Proportional to 3,012.73, 4,519.71 and 1,064.89

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Solution

The fourth proportional to 3,012.73, 4,519.71 and 1,064.89 is: 1,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.73 : 4,519.71 = 1,064.89 : x
  2. Step 2: Convert to fraction form
    3,012.73/4,519.71 = 1,064.89/x
  3. Step 3: Cross multiply
    3,012.73x = 4,519.71 × 1,064.89
  4. Step 4: Simplify right side
    3,012.73x = 4,812,993.98
  5. Step 5: Solve for x
    x = 4,812,993.98/3,012.73
  6. Step 6: Final answer
    x = 1,597.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.