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Finding the Fourth Proportional to 5,796.80, 8,697.90 and 3,026.60

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Solution

The fourth proportional to 5,796.80, 8,697.90 and 3,026.60 is: 4,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.80 : 8,697.90 = 3,026.60 : x
  2. Step 2: Convert to fraction form
    5,796.80/8,697.90 = 3,026.60/x
  3. Step 3: Cross multiply
    5,796.80x = 8,697.90 × 3,026.60
  4. Step 4: Simplify right side
    5,796.80x = 26,325,064.14
  5. Step 5: Solve for x
    x = 26,325,064.14/5,796.80
  6. Step 6: Final answer
    x = 4,541.31

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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.