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Finding the Fourth Proportional to 3,736.02, 5,144.40 and 3,384.48

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Solution

The fourth proportional to 3,736.02, 5,144.40 and 3,384.48 is: 4,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.02 : 5,144.40 = 3,384.48 : x
  2. Step 2: Convert to fraction form
    3,736.02/5,144.40 = 3,384.48/x
  3. Step 3: Cross multiply
    3,736.02x = 5,144.40 × 3,384.48
  4. Step 4: Simplify right side
    3,736.02x = 17,411,118.91
  5. Step 5: Solve for x
    x = 17,411,118.91/3,736.02
  6. Step 6: Final answer
    x = 4,660.34

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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.