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Finding the Fourth Proportional to 3,647.97, 5,032.16 and 2,466.99

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Solution

The fourth proportional to 3,647.97, 5,032.16 and 2,466.99 is: 3,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.97 : 5,032.16 = 2,466.99 : x
  2. Step 2: Convert to fraction form
    3,647.97/5,032.16 = 2,466.99/x
  3. Step 3: Cross multiply
    3,647.97x = 5,032.16 × 2,466.99
  4. Step 4: Simplify right side
    3,647.97x = 12,414,288.40
  5. Step 5: Solve for x
    x = 12,414,288.40/3,647.97
  6. Step 6: Final answer
    x = 3,403.07

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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.