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Finding the Fourth Proportional to 3,467.46, 5,201.10 and 870.42

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Solution

The fourth proportional to 3,467.46, 5,201.10 and 870.42 is: 1,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.46 : 5,201.10 = 870.42 : x
  2. Step 2: Convert to fraction form
    3,467.46/5,201.10 = 870.42/x
  3. Step 3: Cross multiply
    3,467.46x = 5,201.10 × 870.42
  4. Step 4: Simplify right side
    3,467.46x = 4,527,141.46
  5. Step 5: Solve for x
    x = 4,527,141.46/3,467.46
  6. Step 6: Final answer
    x = 1,305.61

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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.