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Finding the Fourth Proportional to 4,863.94, 7,296.05 and 1,902.26

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Solution

The fourth proportional to 4,863.94, 7,296.05 and 1,902.26 is: 2,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.94 : 7,296.05 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    4,863.94/7,296.05 = 1,902.26/x
  3. Step 3: Cross multiply
    4,863.94x = 7,296.05 × 1,902.26
  4. Step 4: Simplify right side
    4,863.94x = 13,878,984.07
  5. Step 5: Solve for x
    x = 13,878,984.07/4,863.94
  6. Step 6: Final answer
    x = 2,853.44

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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.