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Finding the Fourth Proportional to 4,900.50, 6,758.74 and 3,175.20

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Solution

The fourth proportional to 4,900.50, 6,758.74 and 3,175.20 is: 4,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.50 : 6,758.74 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    4,900.50/6,758.74 = 3,175.20/x
  3. Step 3: Cross multiply
    4,900.50x = 6,758.74 × 3,175.20
  4. Step 4: Simplify right side
    4,900.50x = 21,460,355.22
  5. Step 5: Solve for x
    x = 21,460,355.22/4,900.50
  6. Step 6: Final answer
    x = 4,379.22

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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.