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Finding the Fourth Proportional to 4,611.18, 6,922.92 and 2,740.56

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Solution

The fourth proportional to 4,611.18, 6,922.92 and 2,740.56 is: 4,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.18 : 6,922.92 = 2,740.56 : x
  2. Step 2: Convert to fraction form
    4,611.18/6,922.92 = 2,740.56/x
  3. Step 3: Cross multiply
    4,611.18x = 6,922.92 × 2,740.56
  4. Step 4: Simplify right side
    4,611.18x = 18,972,677.64
  5. Step 5: Solve for x
    x = 18,972,677.64/4,611.18
  6. Step 6: Final answer
    x = 4,114.50

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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.