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Finding the Fourth Proportional to 4,083.99, 5,643.56 and 3,337.67

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Solution

The fourth proportional to 4,083.99, 5,643.56 and 3,337.67 is: 4,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.99 : 5,643.56 = 3,337.67 : x
  2. Step 2: Convert to fraction form
    4,083.99/5,643.56 = 3,337.67/x
  3. Step 3: Cross multiply
    4,083.99x = 5,643.56 × 3,337.67
  4. Step 4: Simplify right side
    4,083.99x = 18,836,363.36
  5. Step 5: Solve for x
    x = 18,836,363.36/4,083.99
  6. Step 6: Final answer
    x = 4,612.25

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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.