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Finding the Fourth Proportional to 4,494.53, 6,737.18 and 1,720.46

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Solution

The fourth proportional to 4,494.53, 6,737.18 and 1,720.46 is: 2,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.53 : 6,737.18 = 1,720.46 : x
  2. Step 2: Convert to fraction form
    4,494.53/6,737.18 = 1,720.46/x
  3. Step 3: Cross multiply
    4,494.53x = 6,737.18 × 1,720.46
  4. Step 4: Simplify right side
    4,494.53x = 11,591,056.94
  5. Step 5: Solve for x
    x = 11,591,056.94/4,494.53
  6. Step 6: Final answer
    x = 2,578.92

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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.