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Finding the Fourth Proportional to 4,768.12, 7,153.74 and 2,458.12

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Solution

The fourth proportional to 4,768.12, 7,153.74 and 2,458.12 is: 3,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.12 : 7,153.74 = 2,458.12 : x
  2. Step 2: Convert to fraction form
    4,768.12/7,153.74 = 2,458.12/x
  3. Step 3: Cross multiply
    4,768.12x = 7,153.74 × 2,458.12
  4. Step 4: Simplify right side
    4,768.12x = 17,584,751.37
  5. Step 5: Solve for x
    x = 17,584,751.37/4,768.12
  6. Step 6: Final answer
    x = 3,687.98

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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.