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Finding the Fourth Proportional to 5,823.49, 8,037.10 and 3,433.99

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Solution

The fourth proportional to 5,823.49, 8,037.10 and 3,433.99 is: 4,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.49 : 8,037.10 = 3,433.99 : x
  2. Step 2: Convert to fraction form
    5,823.49/8,037.10 = 3,433.99/x
  3. Step 3: Cross multiply
    5,823.49x = 8,037.10 × 3,433.99
  4. Step 4: Simplify right side
    5,823.49x = 27,599,321.03
  5. Step 5: Solve for x
    x = 27,599,321.03/5,823.49
  6. Step 6: Final answer
    x = 4,739.31

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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.