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Finding the Fourth Proportional to 5,759.09, 8,638.80 and 1,599.14

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Solution

The fourth proportional to 5,759.09, 8,638.80 and 1,599.14 is: 2,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.09 : 8,638.80 = 1,599.14 : x
  2. Step 2: Convert to fraction form
    5,759.09/8,638.80 = 1,599.14/x
  3. Step 3: Cross multiply
    5,759.09x = 8,638.80 × 1,599.14
  4. Step 4: Simplify right side
    5,759.09x = 13,814,650.63
  5. Step 5: Solve for x
    x = 13,814,650.63/5,759.09
  6. Step 6: Final answer
    x = 2,398.76

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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.