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Finding the Fourth Proportional to 5,094.90, 7,635.06 and 4,832.46

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Solution

The fourth proportional to 5,094.90, 7,635.06 and 4,832.46 is: 7,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.90 : 7,635.06 = 4,832.46 : x
  2. Step 2: Convert to fraction form
    5,094.90/7,635.06 = 4,832.46/x
  3. Step 3: Cross multiply
    5,094.90x = 7,635.06 × 4,832.46
  4. Step 4: Simplify right side
    5,094.90x = 36,896,122.05
  5. Step 5: Solve for x
    x = 36,896,122.05/5,094.90
  6. Step 6: Final answer
    x = 7,241.78

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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.