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Finding the Fourth Proportional to 3,483.30, 5,224.92 and 886.23

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Solution

The fourth proportional to 3,483.30, 5,224.92 and 886.23 is: 1,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.30 : 5,224.92 = 886.23 : x
  2. Step 2: Convert to fraction form
    3,483.30/5,224.92 = 886.23/x
  3. Step 3: Cross multiply
    3,483.30x = 5,224.92 × 886.23
  4. Step 4: Simplify right side
    3,483.30x = 4,630,480.85
  5. Step 5: Solve for x
    x = 4,630,480.85/3,483.30
  6. Step 6: Final answer
    x = 1,329.34

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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.