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Finding the Fourth Proportional to 3,297.06, 4,950.54 and 3,138.54

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Solution

The fourth proportional to 3,297.06, 4,950.54 and 3,138.54 is: 4,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.06 : 4,950.54 = 3,138.54 : x
  2. Step 2: Convert to fraction form
    3,297.06/4,950.54 = 3,138.54/x
  3. Step 3: Cross multiply
    3,297.06x = 4,950.54 × 3,138.54
  4. Step 4: Simplify right side
    3,297.06x = 15,537,467.81
  5. Step 5: Solve for x
    x = 15,537,467.81/3,297.06
  6. Step 6: Final answer
    x = 4,712.52

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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.