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Finding the Fourth Proportional to 3,835.84, 5,293.32 and 2,157.31

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Solution

The fourth proportional to 3,835.84, 5,293.32 and 2,157.31 is: 2,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.84 : 5,293.32 = 2,157.31 : x
  2. Step 2: Convert to fraction form
    3,835.84/5,293.32 = 2,157.31/x
  3. Step 3: Cross multiply
    3,835.84x = 5,293.32 × 2,157.31
  4. Step 4: Simplify right side
    3,835.84x = 11,419,332.17
  5. Step 5: Solve for x
    x = 11,419,332.17/3,835.84
  6. Step 6: Final answer
    x = 2,977.01

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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.