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Finding the Fourth Proportional to 5,787.16, 8,680.74 and 1,404.62

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Solution

The fourth proportional to 5,787.16, 8,680.74 and 1,404.62 is: 2,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.16 : 8,680.74 = 1,404.62 : x
  2. Step 2: Convert to fraction form
    5,787.16/8,680.74 = 1,404.62/x
  3. Step 3: Cross multiply
    5,787.16x = 8,680.74 × 1,404.62
  4. Step 4: Simplify right side
    5,787.16x = 12,193,141.02
  5. Step 5: Solve for x
    x = 12,193,141.02/5,787.16
  6. Step 6: Final answer
    x = 2,106.93

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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.