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Finding the Fourth Proportional to 5,706.11, 7,871.24 and 3,347.80

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Solution

The fourth proportional to 5,706.11, 7,871.24 and 3,347.80 is: 4,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.11 : 7,871.24 = 3,347.80 : x
  2. Step 2: Convert to fraction form
    5,706.11/7,871.24 = 3,347.80/x
  3. Step 3: Cross multiply
    5,706.11x = 7,871.24 × 3,347.80
  4. Step 4: Simplify right side
    5,706.11x = 26,351,325.96
  5. Step 5: Solve for x
    x = 26,351,325.96/5,706.11
  6. Step 6: Final answer
    x = 4,618.09

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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.