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Finding the Fourth Proportional to 5,758.89, 8,638.35 and 1,756.31

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Solution

The fourth proportional to 5,758.89, 8,638.35 and 1,756.31 is: 2,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.89 : 8,638.35 = 1,756.31 : x
  2. Step 2: Convert to fraction form
    5,758.89/8,638.35 = 1,756.31/x
  3. Step 3: Cross multiply
    5,758.89x = 8,638.35 × 1,756.31
  4. Step 4: Simplify right side
    5,758.89x = 15,171,620.49
  5. Step 5: Solve for x
    x = 15,171,620.49/5,758.89
  6. Step 6: Final answer
    x = 2,634.47

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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.