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Finding the Fourth Proportional to 5,049.58, 6,967.35 and 3,185.50

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Solution

The fourth proportional to 5,049.58, 6,967.35 and 3,185.50 is: 4,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.58 : 6,967.35 = 3,185.50 : x
  2. Step 2: Convert to fraction form
    5,049.58/6,967.35 = 3,185.50/x
  3. Step 3: Cross multiply
    5,049.58x = 6,967.35 × 3,185.50
  4. Step 4: Simplify right side
    5,049.58x = 22,194,493.43
  5. Step 5: Solve for x
    x = 22,194,493.43/5,049.58
  6. Step 6: Final answer
    x = 4,395.31

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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.