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Finding the Fourth Proportional to 5,176.35, 7,763.43 and 1,666.67

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Solution

The fourth proportional to 5,176.35, 7,763.43 and 1,666.67 is: 2,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.35 : 7,763.43 = 1,666.67 : x
  2. Step 2: Convert to fraction form
    5,176.35/7,763.43 = 1,666.67/x
  3. Step 3: Cross multiply
    5,176.35x = 7,763.43 × 1,666.67
  4. Step 4: Simplify right side
    5,176.35x = 12,939,062.80
  5. Step 5: Solve for x
    x = 12,939,062.80/5,176.35
  6. Step 6: Final answer
    x = 2,499.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.