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Finding the Fourth Proportional to 3,467.56, 5,201.34 and 870.49

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Solution

The fourth proportional to 3,467.56, 5,201.34 and 870.49 is: 1,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.56 : 5,201.34 = 870.49 : x
  2. Step 2: Convert to fraction form
    3,467.56/5,201.34 = 870.49/x
  3. Step 3: Cross multiply
    3,467.56x = 5,201.34 × 870.49
  4. Step 4: Simplify right side
    3,467.56x = 4,527,714.46
  5. Step 5: Solve for x
    x = 4,527,714.46/3,467.56
  6. Step 6: Final answer
    x = 1,305.74

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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.