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Finding the Fourth Proportional to 4,974.66, 6,865.77 and 3,652.02

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Solution

The fourth proportional to 4,974.66, 6,865.77 and 3,652.02 is: 5,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.66 : 6,865.77 = 3,652.02 : x
  2. Step 2: Convert to fraction form
    4,974.66/6,865.77 = 3,652.02/x
  3. Step 3: Cross multiply
    4,974.66x = 6,865.77 × 3,652.02
  4. Step 4: Simplify right side
    4,974.66x = 25,073,929.36
  5. Step 5: Solve for x
    x = 25,073,929.36/4,974.66
  6. Step 6: Final answer
    x = 5,040.33

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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.