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Finding the Fourth Proportional to 3,811.59, 5,260.24 and 2,132.90

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Solution

The fourth proportional to 3,811.59, 5,260.24 and 2,132.90 is: 2,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.59 : 5,260.24 = 2,132.90 : x
  2. Step 2: Convert to fraction form
    3,811.59/5,260.24 = 2,132.90/x
  3. Step 3: Cross multiply
    3,811.59x = 5,260.24 × 2,132.90
  4. Step 4: Simplify right side
    3,811.59x = 11,219,539.59
  5. Step 5: Solve for x
    x = 11,219,539.59/3,811.59
  6. Step 6: Final answer
    x = 2,943.54

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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.