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Finding the Fourth Proportional to 5,911, 8,866.50 and 2,015.44

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Solution

The fourth proportional to 5,911, 8,866.50 and 2,015.44 is: 3,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911 : 8,866.50 = 2,015.44 : x
  2. Step 2: Convert to fraction form
    5,911/8,866.50 = 2,015.44/x
  3. Step 3: Cross multiply
    5,911x = 8,866.50 × 2,015.44
  4. Step 4: Simplify right side
    5,911x = 17,869,898.76
  5. Step 5: Solve for x
    x = 17,869,898.76/5,911
  6. Step 6: Final answer
    x = 3,023.16

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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.