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Finding the Fourth Proportional to 4,749.94, 7,112.49 and 3,355.74

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Solution

The fourth proportional to 4,749.94, 7,112.49 and 3,355.74 is: 5,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.94 : 7,112.49 = 3,355.74 : x
  2. Step 2: Convert to fraction form
    4,749.94/7,112.49 = 3,355.74/x
  3. Step 3: Cross multiply
    4,749.94x = 7,112.49 × 3,355.74
  4. Step 4: Simplify right side
    4,749.94x = 23,867,667.19
  5. Step 5: Solve for x
    x = 23,867,667.19/4,749.94
  6. Step 6: Final answer
    x = 5,024.84

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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.