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Finding the Fourth Proportional to 4,768.74, 7,150.20 and 2,135.76

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Solution

The fourth proportional to 4,768.74, 7,150.20 and 2,135.76 is: 3,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.74 : 7,150.20 = 2,135.76 : x
  2. Step 2: Convert to fraction form
    4,768.74/7,150.20 = 2,135.76/x
  3. Step 3: Cross multiply
    4,768.74x = 7,150.20 × 2,135.76
  4. Step 4: Simplify right side
    4,768.74x = 15,271,111.15
  5. Step 5: Solve for x
    x = 15,271,111.15/4,768.74
  6. Step 6: Final answer
    x = 3,202.34

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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.