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Finding the Fourth Proportional to 3,110.50, 4,652.93 and 2,836.78

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Solution

The fourth proportional to 3,110.50, 4,652.93 and 2,836.78 is: 4,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.50 : 4,652.93 = 2,836.78 : x
  2. Step 2: Convert to fraction form
    3,110.50/4,652.93 = 2,836.78/x
  3. Step 3: Cross multiply
    3,110.50x = 4,652.93 × 2,836.78
  4. Step 4: Simplify right side
    3,110.50x = 13,199,301.32
  5. Step 5: Solve for x
    x = 13,199,301.32/3,110.50
  6. Step 6: Final answer
    x = 4,243.47

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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.