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Finding the Fourth Proportional to 4,650.30, 6,977.16 and 2,152.69

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Solution

The fourth proportional to 4,650.30, 6,977.16 and 2,152.69 is: 3,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.30 : 6,977.16 = 2,152.69 : x
  2. Step 2: Convert to fraction form
    4,650.30/6,977.16 = 2,152.69/x
  3. Step 3: Cross multiply
    4,650.30x = 6,977.16 × 2,152.69
  4. Step 4: Simplify right side
    4,650.30x = 15,019,645.12
  5. Step 5: Solve for x
    x = 15,019,645.12/4,650.30
  6. Step 6: Final answer
    x = 3,229.82

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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.