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Finding the Fourth Proportional to 3,467.31, 5,200.95 and 870.24

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Solution

The fourth proportional to 3,467.31, 5,200.95 and 870.24 is: 1,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.31 : 5,200.95 = 870.24 : x
  2. Step 2: Convert to fraction form
    3,467.31/5,200.95 = 870.24/x
  3. Step 3: Cross multiply
    3,467.31x = 5,200.95 × 870.24
  4. Step 4: Simplify right side
    3,467.31x = 4,526,074.73
  5. Step 5: Solve for x
    x = 4,526,074.73/3,467.31
  6. Step 6: Final answer
    x = 1,305.36

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1.5x scale

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.