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Finding the Fourth Proportional to 3,758.96, 5,188.80 and 3,365.28

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Solution

The fourth proportional to 3,758.96, 5,188.80 and 3,365.28 is: 4,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.96 : 5,188.80 = 3,365.28 : x
  2. Step 2: Convert to fraction form
    3,758.96/5,188.80 = 3,365.28/x
  3. Step 3: Cross multiply
    3,758.96x = 5,188.80 × 3,365.28
  4. Step 4: Simplify right side
    3,758.96x = 17,461,764.86
  5. Step 5: Solve for x
    x = 17,461,764.86/3,758.96
  6. Step 6: Final answer
    x = 4,645.37

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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.