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Finding the Fourth Proportional to 3,467.63, 5,201.06 and 870.57

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Solution

The fourth proportional to 3,467.63, 5,201.06 and 870.57 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.63 : 5,201.06 = 870.57 : x
  2. Step 2: Convert to fraction form
    3,467.63/5,201.06 = 870.57/x
  3. Step 3: Cross multiply
    3,467.63x = 5,201.06 × 870.57
  4. Step 4: Simplify right side
    3,467.63x = 4,527,882.45
  5. Step 5: Solve for x
    x = 4,527,882.45/3,467.63
  6. Step 6: Final answer
    x = 1,305.76

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Why These Related Problems?

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