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Finding the Fourth Proportional to 3,467.96, 5,201.88 and 870.86

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Solution

The fourth proportional to 3,467.96, 5,201.88 and 870.86 is: 1,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.96 : 5,201.88 = 870.86 : x
  2. Step 2: Convert to fraction form
    3,467.96/5,201.88 = 870.86/x
  3. Step 3: Cross multiply
    3,467.96x = 5,201.88 × 870.86
  4. Step 4: Simplify right side
    3,467.96x = 4,530,109.22
  5. Step 5: Solve for x
    x = 4,530,109.22/3,467.96
  6. Step 6: Final answer
    x = 1,306.27

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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.