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Finding the Fourth Proportional to 3,407.97, 5,114.75 and 1,764.99

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Solution

The fourth proportional to 3,407.97, 5,114.75 and 1,764.99 is: 2,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.97 : 5,114.75 = 1,764.99 : x
  2. Step 2: Convert to fraction form
    3,407.97/5,114.75 = 1,764.99/x
  3. Step 3: Cross multiply
    3,407.97x = 5,114.75 × 1,764.99
  4. Step 4: Simplify right side
    3,407.97x = 9,027,473.78
  5. Step 5: Solve for x
    x = 9,027,473.78/3,407.97
  6. Step 6: Final answer
    x = 2,648.93

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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.