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Finding the Fourth Proportional to 5,817.88, 8,029.74 and 3,461.32

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Solution

The fourth proportional to 5,817.88, 8,029.74 and 3,461.32 is: 4,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.88 : 8,029.74 = 3,461.32 : x
  2. Step 2: Convert to fraction form
    5,817.88/8,029.74 = 3,461.32/x
  3. Step 3: Cross multiply
    5,817.88x = 8,029.74 × 3,461.32
  4. Step 4: Simplify right side
    5,817.88x = 27,793,499.66
  5. Step 5: Solve for x
    x = 27,793,499.66/5,817.88
  6. Step 6: Final answer
    x = 4,777.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.