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Finding the Fourth Proportional to 3,489.63, 4,816.95 and 2,311.08

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Solution

The fourth proportional to 3,489.63, 4,816.95 and 2,311.08 is: 3,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.63 : 4,816.95 = 2,311.08 : x
  2. Step 2: Convert to fraction form
    3,489.63/4,816.95 = 2,311.08/x
  3. Step 3: Cross multiply
    3,489.63x = 4,816.95 × 2,311.08
  4. Step 4: Simplify right side
    3,489.63x = 11,132,326.94
  5. Step 5: Solve for x
    x = 11,132,326.94/3,489.63
  6. Step 6: Final answer
    x = 3,190.12

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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.