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Finding the Fourth Proportional to 4,543.72, 6,811.26 and 1,945

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Solution

The fourth proportional to 4,543.72, 6,811.26 and 1,945 is: 2,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.72 : 6,811.26 = 1,945 : x
  2. Step 2: Convert to fraction form
    4,543.72/6,811.26 = 1,945/x
  3. Step 3: Cross multiply
    4,543.72x = 6,811.26 × 1,945
  4. Step 4: Simplify right side
    4,543.72x = 13,247,900.70
  5. Step 5: Solve for x
    x = 13,247,900.70/4,543.72
  6. Step 6: Final answer
    x = 2,915.65

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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.