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Finding the Fourth Proportional to 5,421.60, 7,480.92 and 3,183

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Solution

The fourth proportional to 5,421.60, 7,480.92 and 3,183 is: 4,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.60 : 7,480.92 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,421.60/7,480.92 = 3,183/x
  3. Step 3: Cross multiply
    5,421.60x = 7,480.92 × 3,183
  4. Step 4: Simplify right side
    5,421.60x = 23,811,768.36
  5. Step 5: Solve for x
    x = 23,811,768.36/5,421.60
  6. Step 6: Final answer
    x = 4,392.02

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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.