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Finding the Fourth Proportional to 5,748.23, 7,930.58 and 3,230.01

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Solution

The fourth proportional to 5,748.23, 7,930.58 and 3,230.01 is: 4,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.23 : 7,930.58 = 3,230.01 : x
  2. Step 2: Convert to fraction form
    5,748.23/7,930.58 = 3,230.01/x
  3. Step 3: Cross multiply
    5,748.23x = 7,930.58 × 3,230.01
  4. Step 4: Simplify right side
    5,748.23x = 25,615,836.56
  5. Step 5: Solve for x
    x = 25,615,836.56/5,748.23
  6. Step 6: Final answer
    x = 4,456.30

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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.