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Finding the Fourth Proportional to 3,797.34, 5,696.01 and 3,463.26

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Solution

The fourth proportional to 3,797.34, 5,696.01 and 3,463.26 is: 5,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.34 : 5,696.01 = 3,463.26 : x
  2. Step 2: Convert to fraction form
    3,797.34/5,696.01 = 3,463.26/x
  3. Step 3: Cross multiply
    3,797.34x = 5,696.01 × 3,463.26
  4. Step 4: Simplify right side
    3,797.34x = 19,726,763.59
  5. Step 5: Solve for x
    x = 19,726,763.59/3,797.34
  6. Step 6: Final answer
    x = 5,194.89

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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.