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Finding the Fourth Proportional to 5,185.66, 7,782.08 and 2,065.36

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Solution

The fourth proportional to 5,185.66, 7,782.08 and 2,065.36 is: 3,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.66 : 7,782.08 = 2,065.36 : x
  2. Step 2: Convert to fraction form
    5,185.66/7,782.08 = 2,065.36/x
  3. Step 3: Cross multiply
    5,185.66x = 7,782.08 × 2,065.36
  4. Step 4: Simplify right side
    5,185.66x = 16,072,796.75
  5. Step 5: Solve for x
    x = 16,072,796.75/5,185.66
  6. Step 6: Final answer
    x = 3,099.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.