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Finding the Fourth Proportional to 3,463.98, 4,776.42 and 2,203.44

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Solution

The fourth proportional to 3,463.98, 4,776.42 and 2,203.44 is: 3,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 4,776.42 = 2,203.44 : x
  2. Step 2: Convert to fraction form
    3,463.98/4,776.42 = 2,203.44/x
  3. Step 3: Cross multiply
    3,463.98x = 4,776.42 × 2,203.44
  4. Step 4: Simplify right side
    3,463.98x = 10,524,554.88
  5. Step 5: Solve for x
    x = 10,524,554.88/3,463.98
  6. Step 6: Final answer
    x = 3,038.28

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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.