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Finding the Fourth Proportional to 4,494.77, 6,744.24 and 1,720.52

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Solution

The fourth proportional to 4,494.77, 6,744.24 and 1,720.52 is: 2,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.77 : 6,744.24 = 1,720.52 : x
  2. Step 2: Convert to fraction form
    4,494.77/6,744.24 = 1,720.52/x
  3. Step 3: Cross multiply
    4,494.77x = 6,744.24 × 1,720.52
  4. Step 4: Simplify right side
    4,494.77x = 11,603,591.20
  5. Step 5: Solve for x
    x = 11,603,591.20/4,494.77
  6. Step 6: Final answer
    x = 2,581.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.