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Finding the Fourth Proportional to 3,467.81, 5,201.72 and 870.75

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Solution

The fourth proportional to 3,467.81, 5,201.72 and 870.75 is: 1,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.81 : 5,201.72 = 870.75 : x
  2. Step 2: Convert to fraction form
    3,467.81/5,201.72 = 870.75/x
  3. Step 3: Cross multiply
    3,467.81x = 5,201.72 × 870.75
  4. Step 4: Simplify right side
    3,467.81x = 4,529,396.60
  5. Step 5: Solve for x
    x = 4,529,396.60/3,467.81
  6. Step 6: Final answer
    x = 1,306.13

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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.