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Finding the Fourth Proportional to 3,837.16, 5,295.54 and 3,314.44

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Solution

The fourth proportional to 3,837.16, 5,295.54 and 3,314.44 is: 4,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.16 : 5,295.54 = 3,314.44 : x
  2. Step 2: Convert to fraction form
    3,837.16/5,295.54 = 3,314.44/x
  3. Step 3: Cross multiply
    3,837.16x = 5,295.54 × 3,314.44
  4. Step 4: Simplify right side
    3,837.16x = 17,551,749.60
  5. Step 5: Solve for x
    x = 17,551,749.60/3,837.16
  6. Step 6: Final answer
    x = 4,574.15

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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.