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Finding the Fourth Proportional to 3,415.22, 4,712.65 and 2,519.44

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Solution

The fourth proportional to 3,415.22, 4,712.65 and 2,519.44 is: 3,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.22 : 4,712.65 = 2,519.44 : x
  2. Step 2: Convert to fraction form
    3,415.22/4,712.65 = 2,519.44/x
  3. Step 3: Cross multiply
    3,415.22x = 4,712.65 × 2,519.44
  4. Step 4: Simplify right side
    3,415.22x = 11,873,238.51
  5. Step 5: Solve for x
    x = 11,873,238.51/3,415.22
  6. Step 6: Final answer
    x = 3,476.57

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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.