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Finding the Fourth Proportional to 4,651.16, 6,977.35 and 1,729.09

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Solution

The fourth proportional to 4,651.16, 6,977.35 and 1,729.09 is: 2,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.16 : 6,977.35 = 1,729.09 : x
  2. Step 2: Convert to fraction form
    4,651.16/6,977.35 = 1,729.09/x
  3. Step 3: Cross multiply
    4,651.16x = 6,977.35 × 1,729.09
  4. Step 4: Simplify right side
    4,651.16x = 12,064,466.11
  5. Step 5: Solve for x
    x = 12,064,466.11/4,651.16
  6. Step 6: Final answer
    x = 2,593.86

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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.