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Finding the Fourth Proportional to 4,977, 7,465.97 and 1,467.01

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Solution

The fourth proportional to 4,977, 7,465.97 and 1,467.01 is: 2,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 7,465.97 = 1,467.01 : x
  2. Step 2: Convert to fraction form
    4,977/7,465.97 = 1,467.01/x
  3. Step 3: Cross multiply
    4,977x = 7,465.97 × 1,467.01
  4. Step 4: Simplify right side
    4,977x = 10,952,626.65
  5. Step 5: Solve for x
    x = 10,952,626.65/4,977
  6. Step 6: Final answer
    x = 2,200.65

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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.