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Finding the Fourth Proportional to 5,786.65, 8,680.02 and 1,404.11

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Solution

The fourth proportional to 5,786.65, 8,680.02 and 1,404.11 is: 2,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.65 : 8,680.02 = 1,404.11 : x
  2. Step 2: Convert to fraction form
    5,786.65/8,680.02 = 1,404.11/x
  3. Step 3: Cross multiply
    5,786.65x = 8,680.02 × 1,404.11
  4. Step 4: Simplify right side
    5,786.65x = 12,187,702.88
  5. Step 5: Solve for x
    x = 12,187,702.88/5,786.65
  6. Step 6: Final answer
    x = 2,106.18

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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.