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Finding the Fourth Proportional to 5,654.21, 7,809.62 and 4,944.24

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Solution

The fourth proportional to 5,654.21, 7,809.62 and 4,944.24 is: 6,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.21 : 7,809.62 = 4,944.24 : x
  2. Step 2: Convert to fraction form
    5,654.21/7,809.62 = 4,944.24/x
  3. Step 3: Cross multiply
    5,654.21x = 7,809.62 × 4,944.24
  4. Step 4: Simplify right side
    5,654.21x = 38,612,610.87
  5. Step 5: Solve for x
    x = 38,612,610.87/5,654.21
  6. Step 6: Final answer
    x = 6,829.01

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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.