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Finding the Fourth Proportional to 3,339.71, 5,009.58 and 2,296.58

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Solution

The fourth proportional to 3,339.71, 5,009.58 and 2,296.58 is: 3,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.71 : 5,009.58 = 2,296.58 : x
  2. Step 2: Convert to fraction form
    3,339.71/5,009.58 = 2,296.58/x
  3. Step 3: Cross multiply
    3,339.71x = 5,009.58 × 2,296.58
  4. Step 4: Simplify right side
    3,339.71x = 11,504,876.19
  5. Step 5: Solve for x
    x = 11,504,876.19/3,339.71
  6. Step 6: Final answer
    x = 3,444.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.