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Finding the Fourth Proportional to 5,971.96, 8,241.60 and 3,320.24

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Solution

The fourth proportional to 5,971.96, 8,241.60 and 3,320.24 is: 4,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.96 : 8,241.60 = 3,320.24 : x
  2. Step 2: Convert to fraction form
    5,971.96/8,241.60 = 3,320.24/x
  3. Step 3: Cross multiply
    5,971.96x = 8,241.60 × 3,320.24
  4. Step 4: Simplify right side
    5,971.96x = 27,364,089.98
  5. Step 5: Solve for x
    x = 27,364,089.98/5,971.96
  6. Step 6: Final answer
    x = 4,582.10

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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.