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Finding the Fourth Proportional to 5,190.48, 7,785.73 and 4,157.06

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Solution

The fourth proportional to 5,190.48, 7,785.73 and 4,157.06 is: 6,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.48 : 7,785.73 = 4,157.06 : x
  2. Step 2: Convert to fraction form
    5,190.48/7,785.73 = 4,157.06/x
  3. Step 3: Cross multiply
    5,190.48x = 7,785.73 × 4,157.06
  4. Step 4: Simplify right side
    5,190.48x = 32,365,697.43
  5. Step 5: Solve for x
    x = 32,365,697.43/5,190.48
  6. Step 6: Final answer
    x = 6,235.59

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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.