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Finding the Fourth Proportional to 3,711, 5,567.10 and 1,519.14

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Solution

The fourth proportional to 3,711, 5,567.10 and 1,519.14 is: 2,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,567.10 = 1,519.14 : x
  2. Step 2: Convert to fraction form
    3,711/5,567.10 = 1,519.14/x
  3. Step 3: Cross multiply
    3,711x = 5,567.10 × 1,519.14
  4. Step 4: Simplify right side
    3,711x = 8,457,204.29
  5. Step 5: Solve for x
    x = 8,457,204.29/3,711
  6. Step 6: Final answer
    x = 2,278.96

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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.