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Finding the Fourth Proportional to 5,787.54, 8,680.62 and 1,627.86

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Solution

The fourth proportional to 5,787.54, 8,680.62 and 1,627.86 is: 2,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.54 : 8,680.62 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    5,787.54/8,680.62 = 1,627.86/x
  3. Step 3: Cross multiply
    5,787.54x = 8,680.62 × 1,627.86
  4. Step 4: Simplify right side
    5,787.54x = 14,130,834.07
  5. Step 5: Solve for x
    x = 14,130,834.07/5,787.54
  6. Step 6: Final answer
    x = 2,441.60

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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.