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Finding the Fourth Proportional to 4,768.34, 7,152.51 and 1,481.63

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Solution

The fourth proportional to 4,768.34, 7,152.51 and 1,481.63 is: 2,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.34 : 7,152.51 = 1,481.63 : x
  2. Step 2: Convert to fraction form
    4,768.34/7,152.51 = 1,481.63/x
  3. Step 3: Cross multiply
    4,768.34x = 7,152.51 × 1,481.63
  4. Step 4: Simplify right side
    4,768.34x = 10,597,373.39
  5. Step 5: Solve for x
    x = 10,597,373.39/4,768.34
  6. Step 6: Final answer
    x = 2,222.45

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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.