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Finding the Fourth Proportional to 3,744.56, 5,613.23 and 1,403.93

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Solution

The fourth proportional to 3,744.56, 5,613.23 and 1,403.93 is: 2,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.56 : 5,613.23 = 1,403.93 : x
  2. Step 2: Convert to fraction form
    3,744.56/5,613.23 = 1,403.93/x
  3. Step 3: Cross multiply
    3,744.56x = 5,613.23 × 1,403.93
  4. Step 4: Simplify right side
    3,744.56x = 7,880,599.54
  5. Step 5: Solve for x
    x = 7,880,599.54/3,744.56
  6. Step 6: Final answer
    x = 2,104.54

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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.