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Finding the Fourth Proportional to 3,748.35, 5,169.94 and 3,323.48

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Solution

The fourth proportional to 3,748.35, 5,169.94 and 3,323.48 is: 4,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.35 : 5,169.94 = 3,323.48 : x
  2. Step 2: Convert to fraction form
    3,748.35/5,169.94 = 3,323.48/x
  3. Step 3: Cross multiply
    3,748.35x = 5,169.94 × 3,323.48
  4. Step 4: Simplify right side
    3,748.35x = 17,182,192.19
  5. Step 5: Solve for x
    x = 17,182,192.19/3,748.35
  6. Step 6: Final answer
    x = 4,583.93

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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.