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Finding the Fourth Proportional to 3,912.34, 5,868.88 and 1,101.16

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Solution

The fourth proportional to 3,912.34, 5,868.88 and 1,101.16 is: 1,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.34 : 5,868.88 = 1,101.16 : x
  2. Step 2: Convert to fraction form
    3,912.34/5,868.88 = 1,101.16/x
  3. Step 3: Cross multiply
    3,912.34x = 5,868.88 × 1,101.16
  4. Step 4: Simplify right side
    3,912.34x = 6,462,575.90
  5. Step 5: Solve for x
    x = 6,462,575.90/3,912.34
  6. Step 6: Final answer
    x = 1,651.84

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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.