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Finding the Fourth Proportional to 3,483.96, 5,224.32 and 1,403.16

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Solution

The fourth proportional to 3,483.96, 5,224.32 and 1,403.16 is: 2,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.96 : 5,224.32 = 1,403.16 : x
  2. Step 2: Convert to fraction form
    3,483.96/5,224.32 = 1,403.16/x
  3. Step 3: Cross multiply
    3,483.96x = 5,224.32 × 1,403.16
  4. Step 4: Simplify right side
    3,483.96x = 7,330,556.85
  5. Step 5: Solve for x
    x = 7,330,556.85/3,483.96
  6. Step 6: Final answer
    x = 2,104.09

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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.