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Finding the Fourth Proportional to 4,686.41, 7,029.41 and 1,912.16

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Solution

The fourth proportional to 4,686.41, 7,029.41 and 1,912.16 is: 2,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.41 : 7,029.41 = 1,912.16 : x
  2. Step 2: Convert to fraction form
    4,686.41/7,029.41 = 1,912.16/x
  3. Step 3: Cross multiply
    4,686.41x = 7,029.41 × 1,912.16
  4. Step 4: Simplify right side
    4,686.41x = 13,441,311.92
  5. Step 5: Solve for x
    x = 13,441,311.92/4,686.41
  6. Step 6: Final answer
    x = 2,868.15

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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.