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Finding the Fourth Proportional to 4,239.74, 5,852.68 and 3,974.06

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Solution

The fourth proportional to 4,239.74, 5,852.68 and 3,974.06 is: 5,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.74 : 5,852.68 = 3,974.06 : x
  2. Step 2: Convert to fraction form
    4,239.74/5,852.68 = 3,974.06/x
  3. Step 3: Cross multiply
    4,239.74x = 5,852.68 × 3,974.06
  4. Step 4: Simplify right side
    4,239.74x = 23,258,901.48
  5. Step 5: Solve for x
    x = 23,258,901.48/4,239.74
  6. Step 6: Final answer
    x = 5,485.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.