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Finding the Fourth Proportional to 5,374.68, 8,062.02 and 1,911.96

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Solution

The fourth proportional to 5,374.68, 8,062.02 and 1,911.96 is: 2,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.68 : 8,062.02 = 1,911.96 : x
  2. Step 2: Convert to fraction form
    5,374.68/8,062.02 = 1,911.96/x
  3. Step 3: Cross multiply
    5,374.68x = 8,062.02 × 1,911.96
  4. Step 4: Simplify right side
    5,374.68x = 15,414,259.76
  5. Step 5: Solve for x
    x = 15,414,259.76/5,374.68
  6. Step 6: Final answer
    x = 2,867.94

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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.