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Finding the Fourth Proportional to 5,858.62, 8,787.83 and 1,475.98

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Solution

The fourth proportional to 5,858.62, 8,787.83 and 1,475.98 is: 2,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.62 : 8,787.83 = 1,475.98 : x
  2. Step 2: Convert to fraction form
    5,858.62/8,787.83 = 1,475.98/x
  3. Step 3: Cross multiply
    5,858.62x = 8,787.83 × 1,475.98
  4. Step 4: Simplify right side
    5,858.62x = 12,970,631.97
  5. Step 5: Solve for x
    x = 12,970,631.97/5,858.62
  6. Step 6: Final answer
    x = 2,213.94

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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.