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Finding the Fourth Proportional to 4,861.73, 7,293.74 and 1,574.81

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Solution

The fourth proportional to 4,861.73, 7,293.74 and 1,574.81 is: 2,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.73 : 7,293.74 = 1,574.81 : x
  2. Step 2: Convert to fraction form
    4,861.73/7,293.74 = 1,574.81/x
  3. Step 3: Cross multiply
    4,861.73x = 7,293.74 × 1,574.81
  4. Step 4: Simplify right side
    4,861.73x = 11,486,265.05
  5. Step 5: Solve for x
    x = 11,486,265.05/4,861.73
  6. Step 6: Final answer
    x = 2,362.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.