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Finding the Fourth Proportional to 5,749.34, 7,934.94 and 3,512.50

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Solution

The fourth proportional to 5,749.34, 7,934.94 and 3,512.50 is: 4,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.34 : 7,934.94 = 3,512.50 : x
  2. Step 2: Convert to fraction form
    5,749.34/7,934.94 = 3,512.50/x
  3. Step 3: Cross multiply
    5,749.34x = 7,934.94 × 3,512.50
  4. Step 4: Simplify right side
    5,749.34x = 27,871,476.75
  5. Step 5: Solve for x
    x = 27,871,476.75/5,749.34
  6. Step 6: Final answer
    x = 4,847.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.