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Finding the Fourth Proportional to 3,810.85, 5,713.96 and 2,493.01

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Solution

The fourth proportional to 3,810.85, 5,713.96 and 2,493.01 is: 3,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.85 : 5,713.96 = 2,493.01 : x
  2. Step 2: Convert to fraction form
    3,810.85/5,713.96 = 2,493.01/x
  3. Step 3: Cross multiply
    3,810.85x = 5,713.96 × 2,493.01
  4. Step 4: Simplify right side
    3,810.85x = 14,244,959.42
  5. Step 5: Solve for x
    x = 14,244,959.42/3,810.85
  6. Step 6: Final answer
    x = 3,738.00

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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.