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Finding the Fourth Proportional to 3,583.78, 4,944.78 and 2,257.74

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Solution

The fourth proportional to 3,583.78, 4,944.78 and 2,257.74 is: 3,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.78 : 4,944.78 = 2,257.74 : x
  2. Step 2: Convert to fraction form
    3,583.78/4,944.78 = 2,257.74/x
  3. Step 3: Cross multiply
    3,583.78x = 4,944.78 × 2,257.74
  4. Step 4: Simplify right side
    3,583.78x = 11,164,027.60
  5. Step 5: Solve for x
    x = 11,164,027.60/3,583.78
  6. Step 6: Final answer
    x = 3,115.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.