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Finding the Fourth Proportional to 3,890.42, 5,368.64 and 2,211.90

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Solution

The fourth proportional to 3,890.42, 5,368.64 and 2,211.90 is: 3,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.42 : 5,368.64 = 2,211.90 : x
  2. Step 2: Convert to fraction form
    3,890.42/5,368.64 = 2,211.90/x
  3. Step 3: Cross multiply
    3,890.42x = 5,368.64 × 2,211.90
  4. Step 4: Simplify right side
    3,890.42x = 11,874,894.82
  5. Step 5: Solve for x
    x = 11,874,894.82/3,890.42
  6. Step 6: Final answer
    x = 3,052.34

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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.