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Finding the Fourth Proportional to 5,176.86, 7,763.46 and 1,666.73

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Solution

The fourth proportional to 5,176.86, 7,763.46 and 1,666.73 is: 2,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.86 : 7,763.46 = 1,666.73 : x
  2. Step 2: Convert to fraction form
    5,176.86/7,763.46 = 1,666.73/x
  3. Step 3: Cross multiply
    5,176.86x = 7,763.46 × 1,666.73
  4. Step 4: Simplify right side
    5,176.86x = 12,939,552.87
  5. Step 5: Solve for x
    x = 12,939,552.87/5,176.86
  6. Step 6: Final answer
    x = 2,499.50

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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.