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Finding the Fourth Proportional to 4,832.64, 7,231.32 and 4,130.37

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Solution

The fourth proportional to 4,832.64, 7,231.32 and 4,130.37 is: 6,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.64 : 7,231.32 = 4,130.37 : x
  2. Step 2: Convert to fraction form
    4,832.64/7,231.32 = 4,130.37/x
  3. Step 3: Cross multiply
    4,832.64x = 7,231.32 × 4,130.37
  4. Step 4: Simplify right side
    4,832.64x = 29,868,027.19
  5. Step 5: Solve for x
    x = 29,868,027.19/4,832.64
  6. Step 6: Final answer
    x = 6,180.48

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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.