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Finding the Fourth Proportional to 5,649.35, 7,795.87 and 3,131.30

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Solution

The fourth proportional to 5,649.35, 7,795.87 and 3,131.30 is: 4,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.35 : 7,795.87 = 3,131.30 : x
  2. Step 2: Convert to fraction form
    5,649.35/7,795.87 = 3,131.30/x
  3. Step 3: Cross multiply
    5,649.35x = 7,795.87 × 3,131.30
  4. Step 4: Simplify right side
    5,649.35x = 24,411,219.39
  5. Step 5: Solve for x
    x = 24,411,219.39/5,649.35
  6. Step 6: Final answer
    x = 4,321.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.