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Finding the Fourth Proportional to 3,647.36, 5,033.80 and 2,304.92

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Solution

The fourth proportional to 3,647.36, 5,033.80 and 2,304.92 is: 3,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.36 : 5,033.80 = 2,304.92 : x
  2. Step 2: Convert to fraction form
    3,647.36/5,033.80 = 2,304.92/x
  3. Step 3: Cross multiply
    3,647.36x = 5,033.80 × 2,304.92
  4. Step 4: Simplify right side
    3,647.36x = 11,602,506.30
  5. Step 5: Solve for x
    x = 11,602,506.30/3,647.36
  6. Step 6: Final answer
    x = 3,181.07

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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.