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Finding the Fourth Proportional to 4,977.74, 7,469.66 and 2,055.67

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Solution

The fourth proportional to 4,977.74, 7,469.66 and 2,055.67 is: 3,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.74 : 7,469.66 = 2,055.67 : x
  2. Step 2: Convert to fraction form
    4,977.74/7,469.66 = 2,055.67/x
  3. Step 3: Cross multiply
    4,977.74x = 7,469.66 × 2,055.67
  4. Step 4: Simplify right side
    4,977.74x = 15,355,127.02
  5. Step 5: Solve for x
    x = 15,355,127.02/4,977.74
  6. Step 6: Final answer
    x = 3,084.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.