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Finding the Fourth Proportional to 3,053.16, 4,213.22 and 1,727.06

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Solution

The fourth proportional to 3,053.16, 4,213.22 and 1,727.06 is: 2,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.16 : 4,213.22 = 1,727.06 : x
  2. Step 2: Convert to fraction form
    3,053.16/4,213.22 = 1,727.06/x
  3. Step 3: Cross multiply
    3,053.16x = 4,213.22 × 1,727.06
  4. Step 4: Simplify right side
    3,053.16x = 7,276,454.03
  5. Step 5: Solve for x
    x = 7,276,454.03/3,053.16
  6. Step 6: Final answer
    x = 2,383.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.