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Finding the Fourth Proportional to 3,498.93, 5,272.47 and 2,896.17

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Solution

The fourth proportional to 3,498.93, 5,272.47 and 2,896.17 is: 4,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.93 : 5,272.47 = 2,896.17 : x
  2. Step 2: Convert to fraction form
    3,498.93/5,272.47 = 2,896.17/x
  3. Step 3: Cross multiply
    3,498.93x = 5,272.47 × 2,896.17
  4. Step 4: Simplify right side
    3,498.93x = 15,269,969.44
  5. Step 5: Solve for x
    x = 15,269,969.44/3,498.93
  6. Step 6: Final answer
    x = 4,364.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.