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Finding the Fourth Proportional to 5,790.46, 8,685.54 and 2,787.82

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Solution

The fourth proportional to 5,790.46, 8,685.54 and 2,787.82 is: 4,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.46 : 8,685.54 = 2,787.82 : x
  2. Step 2: Convert to fraction form
    5,790.46/8,685.54 = 2,787.82/x
  3. Step 3: Cross multiply
    5,790.46x = 8,685.54 × 2,787.82
  4. Step 4: Simplify right side
    5,790.46x = 24,213,722.12
  5. Step 5: Solve for x
    x = 24,213,722.12/5,790.46
  6. Step 6: Final answer
    x = 4,181.66

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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.