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Finding the Fourth Proportional to 3,512.96, 5,270.19 and 1,047.98

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Solution

The fourth proportional to 3,512.96, 5,270.19 and 1,047.98 is: 1,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.96 : 5,270.19 = 1,047.98 : x
  2. Step 2: Convert to fraction form
    3,512.96/5,270.19 = 1,047.98/x
  3. Step 3: Cross multiply
    3,512.96x = 5,270.19 × 1,047.98
  4. Step 4: Simplify right side
    3,512.96x = 5,523,027.37
  5. Step 5: Solve for x
    x = 5,523,027.37/3,512.96
  6. Step 6: Final answer
    x = 1,572.19

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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.