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Finding the Fourth Proportional to 3,749.99, 5,626.10 and 1,117.49

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Solution

The fourth proportional to 3,749.99, 5,626.10 and 1,117.49 is: 1,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.99 : 5,626.10 = 1,117.49 : x
  2. Step 2: Convert to fraction form
    3,749.99/5,626.10 = 1,117.49/x
  3. Step 3: Cross multiply
    3,749.99x = 5,626.10 × 1,117.49
  4. Step 4: Simplify right side
    3,749.99x = 6,287,110.49
  5. Step 5: Solve for x
    x = 6,287,110.49/3,749.99
  6. Step 6: Final answer
    x = 1,676.57

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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.