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Finding the Fourth Proportional to 3,671.92, 5,506.36 and 1,480.06

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Solution

The fourth proportional to 3,671.92, 5,506.36 and 1,480.06 is: 2,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.92 : 5,506.36 = 1,480.06 : x
  2. Step 2: Convert to fraction form
    3,671.92/5,506.36 = 1,480.06/x
  3. Step 3: Cross multiply
    3,671.92x = 5,506.36 × 1,480.06
  4. Step 4: Simplify right side
    3,671.92x = 8,149,743.18
  5. Step 5: Solve for x
    x = 8,149,743.18/3,671.92
  6. Step 6: Final answer
    x = 2,219.48

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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.