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Finding the Fourth Proportional to 4,697.37, 6,480.95 and 2,706.75

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Solution

The fourth proportional to 4,697.37, 6,480.95 and 2,706.75 is: 3,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.37 : 6,480.95 = 2,706.75 : x
  2. Step 2: Convert to fraction form
    4,697.37/6,480.95 = 2,706.75/x
  3. Step 3: Cross multiply
    4,697.37x = 6,480.95 × 2,706.75
  4. Step 4: Simplify right side
    4,697.37x = 17,542,297.88
  5. Step 5: Solve for x
    x = 17,542,297.88/4,697.37
  6. Step 6: Final answer
    x = 3,734.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.