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Finding the Fourth Proportional to 3,838.70, 5,297.37 and 2,160.11

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Solution

The fourth proportional to 3,838.70, 5,297.37 and 2,160.11 is: 2,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.70 : 5,297.37 = 2,160.11 : x
  2. Step 2: Convert to fraction form
    3,838.70/5,297.37 = 2,160.11/x
  3. Step 3: Cross multiply
    3,838.70x = 5,297.37 × 2,160.11
  4. Step 4: Simplify right side
    3,838.70x = 11,442,907.05
  5. Step 5: Solve for x
    x = 11,442,907.05/3,838.70
  6. Step 6: Final answer
    x = 2,980.93

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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.