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Finding the Fourth Proportional to 5,212.89, 7,808.27 and 3,649.19

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Solution

The fourth proportional to 5,212.89, 7,808.27 and 3,649.19 is: 5,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.89 : 7,808.27 = 3,649.19 : x
  2. Step 2: Convert to fraction form
    5,212.89/7,808.27 = 3,649.19/x
  3. Step 3: Cross multiply
    5,212.89x = 7,808.27 × 3,649.19
  4. Step 4: Simplify right side
    5,212.89x = 28,493,803.51
  5. Step 5: Solve for x
    x = 28,493,803.51/5,212.89
  6. Step 6: Final answer
    x = 5,466.03

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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.