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Finding the Fourth Proportional to 5,176.86, 7,144.10 and 2,819.01

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Solution

The fourth proportional to 5,176.86, 7,144.10 and 2,819.01 is: 3,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.86 : 7,144.10 = 2,819.01 : x
  2. Step 2: Convert to fraction form
    5,176.86/7,144.10 = 2,819.01/x
  3. Step 3: Cross multiply
    5,176.86x = 7,144.10 × 2,819.01
  4. Step 4: Simplify right side
    5,176.86x = 20,139,289.34
  5. Step 5: Solve for x
    x = 20,139,289.34/5,176.86
  6. Step 6: Final answer
    x = 3,890.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.