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Finding the Fourth Proportional to 3,583.08, 4,941.22 and 2,257

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Solution

The fourth proportional to 3,583.08, 4,941.22 and 2,257 is: 3,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.08 : 4,941.22 = 2,257 : x
  2. Step 2: Convert to fraction form
    3,583.08/4,941.22 = 2,257/x
  3. Step 3: Cross multiply
    3,583.08x = 4,941.22 × 2,257
  4. Step 4: Simplify right side
    3,583.08x = 11,152,333.54
  5. Step 5: Solve for x
    x = 11,152,333.54/3,583.08
  6. Step 6: Final answer
    x = 3,112.50

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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.