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Finding the Fourth Proportional to 5,190.57, 7,786.88 and 1,681.46

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Solution

The fourth proportional to 5,190.57, 7,786.88 and 1,681.46 is: 2,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.57 : 7,786.88 = 1,681.46 : x
  2. Step 2: Convert to fraction form
    5,190.57/7,786.88 = 1,681.46/x
  3. Step 3: Cross multiply
    5,190.57x = 7,786.88 × 1,681.46
  4. Step 4: Simplify right side
    5,190.57x = 13,093,279.90
  5. Step 5: Solve for x
    x = 13,093,279.90/5,190.57
  6. Step 6: Final answer
    x = 2,522.51

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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.