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Finding the Fourth Proportional to 4,494.44, 6,737.10 and 1,720.40

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Solution

The fourth proportional to 4,494.44, 6,737.10 and 1,720.40 is: 2,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.44 : 6,737.10 = 1,720.40 : x
  2. Step 2: Convert to fraction form
    4,494.44/6,737.10 = 1,720.40/x
  3. Step 3: Cross multiply
    4,494.44x = 6,737.10 × 1,720.40
  4. Step 4: Simplify right side
    4,494.44x = 11,590,506.84
  5. Step 5: Solve for x
    x = 11,590,506.84/4,494.44
  6. Step 6: Final answer
    x = 2,578.85

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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.