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Finding the Fourth Proportional to 3,904.28, 5,387.86 and 2,135.86

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Solution

The fourth proportional to 3,904.28, 5,387.86 and 2,135.86 is: 2,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.28 : 5,387.86 = 2,135.86 : x
  2. Step 2: Convert to fraction form
    3,904.28/5,387.86 = 2,135.86/x
  3. Step 3: Cross multiply
    3,904.28x = 5,387.86 × 2,135.86
  4. Step 4: Simplify right side
    3,904.28x = 11,507,703.98
  5. Step 5: Solve for x
    x = 11,507,703.98/3,904.28
  6. Step 6: Final answer
    x = 2,947.46

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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.