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Finding the Fourth Proportional to 5,698.62, 8,545.50 and 2,000.16

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Solution

The fourth proportional to 5,698.62, 8,545.50 and 2,000.16 is: 2,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.62 : 8,545.50 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    5,698.62/8,545.50 = 2,000.16/x
  3. Step 3: Cross multiply
    5,698.62x = 8,545.50 × 2,000.16
  4. Step 4: Simplify right side
    5,698.62x = 17,092,367.28
  5. Step 5: Solve for x
    x = 17,092,367.28/5,698.62
  6. Step 6: Final answer
    x = 2,999.39

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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.