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Finding the Fourth Proportional to 3,903.86, 5,387.31 and 2,135.45

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Solution

The fourth proportional to 3,903.86, 5,387.31 and 2,135.45 is: 2,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.86 : 5,387.31 = 2,135.45 : x
  2. Step 2: Convert to fraction form
    3,903.86/5,387.31 = 2,135.45/x
  3. Step 3: Cross multiply
    3,903.86x = 5,387.31 × 2,135.45
  4. Step 4: Simplify right side
    3,903.86x = 11,504,304.20
  5. Step 5: Solve for x
    x = 11,504,304.20/3,903.86
  6. Step 6: Final answer
    x = 2,946.91

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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.