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Finding the Fourth Proportional to 5,231.64, 7,850.16 and 3,477.84

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Solution

The fourth proportional to 5,231.64, 7,850.16 and 3,477.84 is: 5,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.64 : 7,850.16 = 3,477.84 : x
  2. Step 2: Convert to fraction form
    5,231.64/7,850.16 = 3,477.84/x
  3. Step 3: Cross multiply
    5,231.64x = 7,850.16 × 3,477.84
  4. Step 4: Simplify right side
    5,231.64x = 27,301,600.45
  5. Step 5: Solve for x
    x = 27,301,600.45/5,231.64
  6. Step 6: Final answer
    x = 5,218.55

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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.