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Finding the Fourth Proportional to 5,849.49, 8,072.48 and 3,611.46

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Solution

The fourth proportional to 5,849.49, 8,072.48 and 3,611.46 is: 4,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.49 : 8,072.48 = 3,611.46 : x
  2. Step 2: Convert to fraction form
    5,849.49/8,072.48 = 3,611.46/x
  3. Step 3: Cross multiply
    5,849.49x = 8,072.48 × 3,611.46
  4. Step 4: Simplify right side
    5,849.49x = 29,153,438.62
  5. Step 5: Solve for x
    x = 29,153,438.62/5,849.49
  6. Step 6: Final answer
    x = 4,983.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.