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Finding the Fourth Proportional to 4,729.80, 7,077.90 and 4,120.20

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Solution

The fourth proportional to 4,729.80, 7,077.90 and 4,120.20 is: 6,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.80 : 7,077.90 = 4,120.20 : x
  2. Step 2: Convert to fraction form
    4,729.80/7,077.90 = 4,120.20/x
  3. Step 3: Cross multiply
    4,729.80x = 7,077.90 × 4,120.20
  4. Step 4: Simplify right side
    4,729.80x = 29,162,363.58
  5. Step 5: Solve for x
    x = 29,162,363.58/4,729.80
  6. Step 6: Final answer
    x = 6,165.67

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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.