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Finding the Fourth Proportional to 5,843.49, 8,764.16 and 3,061.41

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Solution

The fourth proportional to 5,843.49, 8,764.16 and 3,061.41 is: 4,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.49 : 8,764.16 = 3,061.41 : x
  2. Step 2: Convert to fraction form
    5,843.49/8,764.16 = 3,061.41/x
  3. Step 3: Cross multiply
    5,843.49x = 8,764.16 × 3,061.41
  4. Step 4: Simplify right side
    5,843.49x = 26,830,671.76
  5. Step 5: Solve for x
    x = 26,830,671.76/5,843.49
  6. Step 6: Final answer
    x = 4,591.55

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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.