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Finding the Fourth Proportional to 5,190.75, 7,748.28 and 4,534.65

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Solution

The fourth proportional to 5,190.75, 7,748.28 and 4,534.65 is: 6,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 7,748.28 = 4,534.65 : x
  2. Step 2: Convert to fraction form
    5,190.75/7,748.28 = 4,534.65/x
  3. Step 3: Cross multiply
    5,190.75x = 7,748.28 × 4,534.65
  4. Step 4: Simplify right side
    5,190.75x = 35,135,737.90
  5. Step 5: Solve for x
    x = 35,135,737.90/5,190.75
  6. Step 6: Final answer
    x = 6,768.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.