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Finding the Fourth Proportional to 5,711, 8,567.19 and 2,012.47

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Solution

The fourth proportional to 5,711, 8,567.19 and 2,012.47 is: 3,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711 : 8,567.19 = 2,012.47 : x
  2. Step 2: Convert to fraction form
    5,711/8,567.19 = 2,012.47/x
  3. Step 3: Cross multiply
    5,711x = 8,567.19 × 2,012.47
  4. Step 4: Simplify right side
    5,711x = 17,241,159.96
  5. Step 5: Solve for x
    x = 17,241,159.96/5,711
  6. Step 6: Final answer
    x = 3,018.94

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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.