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Finding the Fourth Proportional to 5,610.96, 7,743.14 and 3,221.01

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Solution

The fourth proportional to 5,610.96, 7,743.14 and 3,221.01 is: 4,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.96 : 7,743.14 = 3,221.01 : x
  2. Step 2: Convert to fraction form
    5,610.96/7,743.14 = 3,221.01/x
  3. Step 3: Cross multiply
    5,610.96x = 7,743.14 × 3,221.01
  4. Step 4: Simplify right side
    5,610.96x = 24,940,715.27
  5. Step 5: Solve for x
    x = 24,940,715.27/5,610.96
  6. Step 6: Final answer
    x = 4,445.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.