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Finding the Fourth Proportional to 3,389.76, 5,107.22 and 3,061.06

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Solution

The fourth proportional to 3,389.76, 5,107.22 and 3,061.06 is: 4,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.76 : 5,107.22 = 3,061.06 : x
  2. Step 2: Convert to fraction form
    3,389.76/5,107.22 = 3,061.06/x
  3. Step 3: Cross multiply
    3,389.76x = 5,107.22 × 3,061.06
  4. Step 4: Simplify right side
    3,389.76x = 15,633,506.85
  5. Step 5: Solve for x
    x = 15,633,506.85/3,389.76
  6. Step 6: Final answer
    x = 4,611.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.