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Finding the Fourth Proportional to 3,749.99, 5,627.22 and 1,670.12

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Solution

The fourth proportional to 3,749.99, 5,627.22 and 1,670.12 is: 2,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.99 : 5,627.22 = 1,670.12 : x
  2. Step 2: Convert to fraction form
    3,749.99/5,627.22 = 1,670.12/x
  3. Step 3: Cross multiply
    3,749.99x = 5,627.22 × 1,670.12
  4. Step 4: Simplify right side
    3,749.99x = 9,398,132.67
  5. Step 5: Solve for x
    x = 9,398,132.67/3,749.99
  6. Step 6: Final answer
    x = 2,506.18

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Why These Related Problems?

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