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Finding the Fourth Proportional to 3,106.41, 4,661.43 and 2,865.84

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Solution

The fourth proportional to 3,106.41, 4,661.43 and 2,865.84 is: 4,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.41 : 4,661.43 = 2,865.84 : x
  2. Step 2: Convert to fraction form
    3,106.41/4,661.43 = 2,865.84/x
  3. Step 3: Cross multiply
    3,106.41x = 4,661.43 × 2,865.84
  4. Step 4: Simplify right side
    3,106.41x = 13,358,912.55
  5. Step 5: Solve for x
    x = 13,358,912.55/3,106.41
  6. Step 6: Final answer
    x = 4,300.43

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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.