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Finding the Fourth Proportional to 3,758.78, 5,188.58 and 3,365.12

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Solution

The fourth proportional to 3,758.78, 5,188.58 and 3,365.12 is: 4,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.78 : 5,188.58 = 3,365.12 : x
  2. Step 2: Convert to fraction form
    3,758.78/5,188.58 = 3,365.12/x
  3. Step 3: Cross multiply
    3,758.78x = 5,188.58 × 3,365.12
  4. Step 4: Simplify right side
    3,758.78x = 17,460,194.33
  5. Step 5: Solve for x
    x = 17,460,194.33/3,758.78
  6. Step 6: Final answer
    x = 4,645.18

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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.