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Finding the Fourth Proportional to 5,508.94, 8,265.84 and 2,589.34

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Solution

The fourth proportional to 5,508.94, 8,265.84 and 2,589.34 is: 3,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.94 : 8,265.84 = 2,589.34 : x
  2. Step 2: Convert to fraction form
    5,508.94/8,265.84 = 2,589.34/x
  3. Step 3: Cross multiply
    5,508.94x = 8,265.84 × 2,589.34
  4. Step 4: Simplify right side
    5,508.94x = 21,403,070.15
  5. Step 5: Solve for x
    x = 21,403,070.15/5,508.94
  6. Step 6: Final answer
    x = 3,885.15

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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.