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Finding the Fourth Proportional to 3,625.64, 5,003.36 and 1,969.64

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Solution

The fourth proportional to 3,625.64, 5,003.36 and 1,969.64 is: 2,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.64 : 5,003.36 = 1,969.64 : x
  2. Step 2: Convert to fraction form
    3,625.64/5,003.36 = 1,969.64/x
  3. Step 3: Cross multiply
    3,625.64x = 5,003.36 × 1,969.64
  4. Step 4: Simplify right side
    3,625.64x = 9,854,817.99
  5. Step 5: Solve for x
    x = 9,854,817.99/3,625.64
  6. Step 6: Final answer
    x = 2,718.09

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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.