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Finding the Fourth Proportional to 3,845.84, 5,307.26 and 2,077.44

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Solution

The fourth proportional to 3,845.84, 5,307.26 and 2,077.44 is: 2,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.84 : 5,307.26 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    3,845.84/5,307.26 = 2,077.44/x
  3. Step 3: Cross multiply
    3,845.84x = 5,307.26 × 2,077.44
  4. Step 4: Simplify right side
    3,845.84x = 11,025,503.83
  5. Step 5: Solve for x
    x = 11,025,503.83/3,845.84
  6. Step 6: Final answer
    x = 2,866.87

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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.