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Finding the Fourth Proportional to 6,456.56, 8,914.20 and 3,974

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Solution

The fourth proportional to 6,456.56, 8,914.20 and 3,974 is: 5,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.56 : 8,914.20 = 3,974 : x
  2. Step 2: Convert to fraction form
    6,456.56/8,914.20 = 3,974/x
  3. Step 3: Cross multiply
    6,456.56x = 8,914.20 × 3,974
  4. Step 4: Simplify right side
    6,456.56x = 35,425,030.80
  5. Step 5: Solve for x
    x = 35,425,030.80/6,456.56
  6. Step 6: Final answer
    x = 5,486.67

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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.