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Finding the Fourth Proportional to 3,901.70, 5,384.48 and 2,133.47

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Solution

The fourth proportional to 3,901.70, 5,384.48 and 2,133.47 is: 2,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.70 : 5,384.48 = 2,133.47 : x
  2. Step 2: Convert to fraction form
    3,901.70/5,384.48 = 2,133.47/x
  3. Step 3: Cross multiply
    3,901.70x = 5,384.48 × 2,133.47
  4. Step 4: Simplify right side
    3,901.70x = 11,487,629.34
  5. Step 5: Solve for x
    x = 11,487,629.34/3,901.70
  6. Step 6: Final answer
    x = 2,944.26

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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.