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Finding the Fourth Proportional to 4,945.48, 6,809.22 and 4,197.96

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Solution

The fourth proportional to 4,945.48, 6,809.22 and 4,197.96 is: 5,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.48 : 6,809.22 = 4,197.96 : x
  2. Step 2: Convert to fraction form
    4,945.48/6,809.22 = 4,197.96/x
  3. Step 3: Cross multiply
    4,945.48x = 6,809.22 × 4,197.96
  4. Step 4: Simplify right side
    4,945.48x = 28,584,833.19
  5. Step 5: Solve for x
    x = 28,584,833.19/4,945.48
  6. Step 6: Final answer
    x = 5,779.99

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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.