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Finding the Fourth Proportional to 3,903.85, 5,387.32 and 2,135.46

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Solution

The fourth proportional to 3,903.85, 5,387.32 and 2,135.46 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.85 : 5,387.32 = 2,135.46 : x
  2. Step 2: Convert to fraction form
    3,903.85/5,387.32 = 2,135.46/x
  3. Step 3: Cross multiply
    3,903.85x = 5,387.32 × 2,135.46
  4. Step 4: Simplify right side
    3,903.85x = 11,504,406.37
  5. Step 5: Solve for x
    x = 11,504,406.37/3,903.85
  6. Step 6: Final answer
    x = 2,946.94

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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.