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Finding the Fourth Proportional to 5,832.59, 8,049.00 and 3,180.04

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Solution

The fourth proportional to 5,832.59, 8,049.00 and 3,180.04 is: 4,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.59 : 8,049.00 = 3,180.04 : x
  2. Step 2: Convert to fraction form
    5,832.59/8,049.00 = 3,180.04/x
  3. Step 3: Cross multiply
    5,832.59x = 8,049.00 × 3,180.04
  4. Step 4: Simplify right side
    5,832.59x = 25,596,133.76
  5. Step 5: Solve for x
    x = 25,596,133.76/5,832.59
  6. Step 6: Final answer
    x = 4,388.47

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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.