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Finding the Fourth Proportional to 5,895.34, 8,843.04 and 1,512.82

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Solution

The fourth proportional to 5,895.34, 8,843.04 and 1,512.82 is: 2,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.34 : 8,843.04 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    5,895.34/8,843.04 = 1,512.82/x
  3. Step 3: Cross multiply
    5,895.34x = 8,843.04 × 1,512.82
  4. Step 4: Simplify right side
    5,895.34x = 13,377,927.77
  5. Step 5: Solve for x
    x = 13,377,927.77/5,895.34
  6. Step 6: Final answer
    x = 2,269.24

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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.