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Finding the Fourth Proportional to 5,374.42, 8,063.07 and 1,912.66

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Solution

The fourth proportional to 5,374.42, 8,063.07 and 1,912.66 is: 2,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.42 : 8,063.07 = 1,912.66 : x
  2. Step 2: Convert to fraction form
    5,374.42/8,063.07 = 1,912.66/x
  3. Step 3: Cross multiply
    5,374.42x = 8,063.07 × 1,912.66
  4. Step 4: Simplify right side
    5,374.42x = 15,421,911.47
  5. Step 5: Solve for x
    x = 15,421,911.47/5,374.42
  6. Step 6: Final answer
    x = 2,869.50

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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.