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Finding the Fourth Proportional to 5,895.14, 8,843.02 and 1,512.64

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Solution

The fourth proportional to 5,895.14, 8,843.02 and 1,512.64 is: 2,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.14 : 8,843.02 = 1,512.64 : x
  2. Step 2: Convert to fraction form
    5,895.14/8,843.02 = 1,512.64/x
  3. Step 3: Cross multiply
    5,895.14x = 8,843.02 × 1,512.64
  4. Step 4: Simplify right side
    5,895.14x = 13,376,305.77
  5. Step 5: Solve for x
    x = 13,376,305.77/5,895.14
  6. Step 6: Final answer
    x = 2,269.04

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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.