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Finding the Fourth Proportional to 3,744.52, 5,613.73 and 1,403.21

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Solution

The fourth proportional to 3,744.52, 5,613.73 and 1,403.21 is: 2,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.52 : 5,613.73 = 1,403.21 : x
  2. Step 2: Convert to fraction form
    3,744.52/5,613.73 = 1,403.21/x
  3. Step 3: Cross multiply
    3,744.52x = 5,613.73 × 1,403.21
  4. Step 4: Simplify right side
    3,744.52x = 7,877,242.07
  5. Step 5: Solve for x
    x = 7,877,242.07/3,744.52
  6. Step 6: Final answer
    x = 2,103.67

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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.