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Finding the Fourth Proportional to 3,710.46, 5,110.11 and 2,868.06

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Solution

The fourth proportional to 3,710.46, 5,110.11 and 2,868.06 is: 3,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.46 : 5,110.11 = 2,868.06 : x
  2. Step 2: Convert to fraction form
    3,710.46/5,110.11 = 2,868.06/x
  3. Step 3: Cross multiply
    3,710.46x = 5,110.11 × 2,868.06
  4. Step 4: Simplify right side
    3,710.46x = 14,656,102.09
  5. Step 5: Solve for x
    x = 14,656,102.09/3,710.46
  6. Step 6: Final answer
    x = 3,949.94

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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.