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Finding the Fourth Proportional to 5,032.50, 6,945.18 and 2,794.46

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Solution

The fourth proportional to 5,032.50, 6,945.18 and 2,794.46 is: 3,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.50 : 6,945.18 = 2,794.46 : x
  2. Step 2: Convert to fraction form
    5,032.50/6,945.18 = 2,794.46/x
  3. Step 3: Cross multiply
    5,032.50x = 6,945.18 × 2,794.46
  4. Step 4: Simplify right side
    5,032.50x = 19,408,027.70
  5. Step 5: Solve for x
    x = 19,408,027.70/5,032.50
  6. Step 6: Final answer
    x = 3,856.54

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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.