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Finding the Fourth Proportional to 3,796.45, 5,696.25 and 1,715.02

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Solution

The fourth proportional to 3,796.45, 5,696.25 and 1,715.02 is: 2,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.45 : 5,696.25 = 1,715.02 : x
  2. Step 2: Convert to fraction form
    3,796.45/5,696.25 = 1,715.02/x
  3. Step 3: Cross multiply
    3,796.45x = 5,696.25 × 1,715.02
  4. Step 4: Simplify right side
    3,796.45x = 9,769,182.68
  5. Step 5: Solve for x
    x = 9,769,182.68/3,796.45
  6. Step 6: Final answer
    x = 2,573.24

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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.