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Finding the Fourth Proportional to 3,415.91, 4,714.40 and 2,534.22

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Solution

The fourth proportional to 3,415.91, 4,714.40 and 2,534.22 is: 3,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.91 : 4,714.40 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    3,415.91/4,714.40 = 2,534.22/x
  3. Step 3: Cross multiply
    3,415.91x = 4,714.40 × 2,534.22
  4. Step 4: Simplify right side
    3,415.91x = 11,947,333.10
  5. Step 5: Solve for x
    x = 11,947,333.10/3,415.91
  6. Step 6: Final answer
    x = 3,497.56

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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.