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Finding the Fourth Proportional to 3,467.35, 5,200.97 and 870.29

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Solution

The fourth proportional to 3,467.35, 5,200.97 and 870.29 is: 1,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.35 : 5,200.97 = 870.29 : x
  2. Step 2: Convert to fraction form
    3,467.35/5,200.97 = 870.29/x
  3. Step 3: Cross multiply
    3,467.35x = 5,200.97 × 870.29
  4. Step 4: Simplify right side
    3,467.35x = 4,526,326.18
  5. Step 5: Solve for x
    x = 4,526,326.18/3,467.35
  6. Step 6: Final answer
    x = 1,305.42

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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.