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Finding the Fourth Proportional to 5,649.70, 7,795.70 and 3,291.80

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Solution

The fourth proportional to 5,649.70, 7,795.70 and 3,291.80 is: 4,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.70 : 7,795.70 = 3,291.80 : x
  2. Step 2: Convert to fraction form
    5,649.70/7,795.70 = 3,291.80/x
  3. Step 3: Cross multiply
    5,649.70x = 7,795.70 × 3,291.80
  4. Step 4: Simplify right side
    5,649.70x = 25,661,885.26
  5. Step 5: Solve for x
    x = 25,661,885.26/5,649.70
  6. Step 6: Final answer
    x = 4,542.17

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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.