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Finding the Fourth Proportional to 5,089.32, 7,638.84 and 2,625.84

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Solution

The fourth proportional to 5,089.32, 7,638.84 and 2,625.84 is: 3,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.32 : 7,638.84 = 2,625.84 : x
  2. Step 2: Convert to fraction form
    5,089.32/7,638.84 = 2,625.84/x
  3. Step 3: Cross multiply
    5,089.32x = 7,638.84 × 2,625.84
  4. Step 4: Simplify right side
    5,089.32x = 20,058,371.63
  5. Step 5: Solve for x
    x = 20,058,371.63/5,089.32
  6. Step 6: Final answer
    x = 3,941.27

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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.