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Finding the Fourth Proportional to 3,384.51, 5,076.24 and 1,305.49

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Solution

The fourth proportional to 3,384.51, 5,076.24 and 1,305.49 is: 1,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.51 : 5,076.24 = 1,305.49 : x
  2. Step 2: Convert to fraction form
    3,384.51/5,076.24 = 1,305.49/x
  3. Step 3: Cross multiply
    3,384.51x = 5,076.24 × 1,305.49
  4. Step 4: Simplify right side
    3,384.51x = 6,626,967.87
  5. Step 5: Solve for x
    x = 6,626,967.87/3,384.51
  6. Step 6: Final answer
    x = 1,958.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.