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Finding the Fourth Proportional to 3,531.78, 4,874.27 and 1,959.98

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Solution

The fourth proportional to 3,531.78, 4,874.27 and 1,959.98 is: 2,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.78 : 4,874.27 = 1,959.98 : x
  2. Step 2: Convert to fraction form
    3,531.78/4,874.27 = 1,959.98/x
  3. Step 3: Cross multiply
    3,531.78x = 4,874.27 × 1,959.98
  4. Step 4: Simplify right side
    3,531.78x = 9,553,447.34
  5. Step 5: Solve for x
    x = 9,553,447.34/3,531.78
  6. Step 6: Final answer
    x = 2,705.00

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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.