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Finding the Fourth Proportional to 3,814.16, 5,716.04 and 2,333.90

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Solution

The fourth proportional to 3,814.16, 5,716.04 and 2,333.90 is: 3,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.16 : 5,716.04 = 2,333.90 : x
  2. Step 2: Convert to fraction form
    3,814.16/5,716.04 = 2,333.90/x
  3. Step 3: Cross multiply
    3,814.16x = 5,716.04 × 2,333.90
  4. Step 4: Simplify right side
    3,814.16x = 13,340,625.51
  5. Step 5: Solve for x
    x = 13,340,625.51/3,814.16
  6. Step 6: Final answer
    x = 3,497.66

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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.