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Finding the Fourth Proportional to 3,740.94, 5,162.96 and 2,148.08

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Solution

The fourth proportional to 3,740.94, 5,162.96 and 2,148.08 is: 2,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.94 : 5,162.96 = 2,148.08 : x
  2. Step 2: Convert to fraction form
    3,740.94/5,162.96 = 2,148.08/x
  3. Step 3: Cross multiply
    3,740.94x = 5,162.96 × 2,148.08
  4. Step 4: Simplify right side
    3,740.94x = 11,090,471.69
  5. Step 5: Solve for x
    x = 11,090,471.69/3,740.94
  6. Step 6: Final answer
    x = 2,964.62

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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.