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Finding the Fourth Proportional to 4,183.48, 5,770.02 and 3,064

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Solution

The fourth proportional to 4,183.48, 5,770.02 and 3,064 is: 4,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.48 : 5,770.02 = 3,064 : x
  2. Step 2: Convert to fraction form
    4,183.48/5,770.02 = 3,064/x
  3. Step 3: Cross multiply
    4,183.48x = 5,770.02 × 3,064
  4. Step 4: Simplify right side
    4,183.48x = 17,679,341.28
  5. Step 5: Solve for x
    x = 17,679,341.28/4,183.48
  6. Step 6: Final answer
    x = 4,225.99

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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.