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Finding the Fourth Proportional to 5,181.21, 7,734.22 and 4,795.74

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Solution

The fourth proportional to 5,181.21, 7,734.22 and 4,795.74 is: 7,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.21 : 7,734.22 = 4,795.74 : x
  2. Step 2: Convert to fraction form
    5,181.21/7,734.22 = 4,795.74/x
  3. Step 3: Cross multiply
    5,181.21x = 7,734.22 × 4,795.74
  4. Step 4: Simplify right side
    5,181.21x = 37,091,296.23
  5. Step 5: Solve for x
    x = 37,091,296.23/5,181.21
  6. Step 6: Final answer
    x = 7,158.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.