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Finding the Fourth Proportional to 3,768.64, 5,166.40 and 3,708.16

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Solution

The fourth proportional to 3,768.64, 5,166.40 and 3,708.16 is: 5,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.64 : 5,166.40 = 3,708.16 : x
  2. Step 2: Convert to fraction form
    3,768.64/5,166.40 = 3,708.16/x
  3. Step 3: Cross multiply
    3,768.64x = 5,166.40 × 3,708.16
  4. Step 4: Simplify right side
    3,768.64x = 19,157,837.82
  5. Step 5: Solve for x
    x = 19,157,837.82/3,768.64
  6. Step 6: Final answer
    x = 5,083.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.