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Finding the Fourth Proportional to 4,665, 6,998.04 and 1,545.42

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Solution

The fourth proportional to 4,665, 6,998.04 and 1,545.42 is: 2,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665 : 6,998.04 = 1,545.42 : x
  2. Step 2: Convert to fraction form
    4,665/6,998.04 = 1,545.42/x
  3. Step 3: Cross multiply
    4,665x = 6,998.04 × 1,545.42
  4. Step 4: Simplify right side
    4,665x = 10,814,910.98
  5. Step 5: Solve for x
    x = 10,814,910.98/4,665
  6. Step 6: Final answer
    x = 2,318.31

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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.