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Finding the Fourth Proportional to 5,748.12, 7,932.42 and 3,230.01

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Solution

The fourth proportional to 5,748.12, 7,932.42 and 3,230.01 is: 4,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.12 : 7,932.42 = 3,230.01 : x
  2. Step 2: Convert to fraction form
    5,748.12/7,932.42 = 3,230.01/x
  3. Step 3: Cross multiply
    5,748.12x = 7,932.42 × 3,230.01
  4. Step 4: Simplify right side
    5,748.12x = 25,621,795.92
  5. Step 5: Solve for x
    x = 25,621,795.92/5,748.12
  6. Step 6: Final answer
    x = 4,457.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.