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Finding the Fourth Proportional to 5,212.74, 7,817.66 and 2,290.32

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Solution

The fourth proportional to 5,212.74, 7,817.66 and 2,290.32 is: 3,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.74 : 7,817.66 = 2,290.32 : x
  2. Step 2: Convert to fraction form
    5,212.74/7,817.66 = 2,290.32/x
  3. Step 3: Cross multiply
    5,212.74x = 7,817.66 × 2,290.32
  4. Step 4: Simplify right side
    5,212.74x = 17,904,943.05
  5. Step 5: Solve for x
    x = 17,904,943.05/5,212.74
  6. Step 6: Final answer
    x = 3,434.84

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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.