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Finding the Fourth Proportional to 4,711.96, 7,069.56 and 1,790.70

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Solution

The fourth proportional to 4,711.96, 7,069.56 and 1,790.70 is: 2,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.96 : 7,069.56 = 1,790.70 : x
  2. Step 2: Convert to fraction form
    4,711.96/7,069.56 = 1,790.70/x
  3. Step 3: Cross multiply
    4,711.96x = 7,069.56 × 1,790.70
  4. Step 4: Simplify right side
    4,711.96x = 12,659,461.09
  5. Step 5: Solve for x
    x = 12,659,461.09/4,711.96
  6. Step 6: Final answer
    x = 2,686.67

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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.