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Finding the Fourth Proportional to 3,483.52, 5,224.84 and 886.48

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Solution

The fourth proportional to 3,483.52, 5,224.84 and 886.48 is: 1,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.52 : 5,224.84 = 886.48 : x
  2. Step 2: Convert to fraction form
    3,483.52/5,224.84 = 886.48/x
  3. Step 3: Cross multiply
    3,483.52x = 5,224.84 × 886.48
  4. Step 4: Simplify right side
    3,483.52x = 4,631,716.16
  5. Step 5: Solve for x
    x = 4,631,716.16/3,483.52
  6. Step 6: Final answer
    x = 1,329.61

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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.