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Finding the Fourth Proportional to 5,070.40, 6,996.94 and 3,183

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Solution

The fourth proportional to 5,070.40, 6,996.94 and 3,183 is: 4,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.40 : 6,996.94 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,070.40/6,996.94 = 3,183/x
  3. Step 3: Cross multiply
    5,070.40x = 6,996.94 × 3,183
  4. Step 4: Simplify right side
    5,070.40x = 22,271,260.02
  5. Step 5: Solve for x
    x = 22,271,260.02/5,070.40
  6. Step 6: Final answer
    x = 4,392.41

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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.