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Finding the Fourth Proportional to 3,687.46, 5,532.16 and 2,235.94

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Solution

The fourth proportional to 3,687.46, 5,532.16 and 2,235.94 is: 3,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.46 : 5,532.16 = 2,235.94 : x
  2. Step 2: Convert to fraction form
    3,687.46/5,532.16 = 2,235.94/x
  3. Step 3: Cross multiply
    3,687.46x = 5,532.16 × 2,235.94
  4. Step 4: Simplify right side
    3,687.46x = 12,369,577.83
  5. Step 5: Solve for x
    x = 12,369,577.83/3,687.46
  6. Step 6: Final answer
    x = 3,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.