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Finding the Fourth Proportional to 3,467.48, 5,201.08 and 870.44

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Solution

The fourth proportional to 3,467.48, 5,201.08 and 870.44 is: 1,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.48 : 5,201.08 = 870.44 : x
  2. Step 2: Convert to fraction form
    3,467.48/5,201.08 = 870.44/x
  3. Step 3: Cross multiply
    3,467.48x = 5,201.08 × 870.44
  4. Step 4: Simplify right side
    3,467.48x = 4,527,228.08
  5. Step 5: Solve for x
    x = 4,527,228.08/3,467.48
  6. Step 6: Final answer
    x = 1,305.62

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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.