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Finding the Fourth Proportional to 4,106.82, 5,705.65 and 4,057.62

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Solution

The fourth proportional to 4,106.82, 5,705.65 and 4,057.62 is: 5,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.82 : 5,705.65 = 4,057.62 : x
  2. Step 2: Convert to fraction form
    4,106.82/5,705.65 = 4,057.62/x
  3. Step 3: Cross multiply
    4,106.82x = 5,705.65 × 4,057.62
  4. Step 4: Simplify right side
    4,106.82x = 23,151,359.55
  5. Step 5: Solve for x
    x = 23,151,359.55/4,106.82
  6. Step 6: Final answer
    x = 5,637.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.