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Finding the Fourth Proportional to 3,698.94, 5,548.46 and 2,065.89

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Solution

The fourth proportional to 3,698.94, 5,548.46 and 2,065.89 is: 3,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.94 : 5,548.46 = 2,065.89 : x
  2. Step 2: Convert to fraction form
    3,698.94/5,548.46 = 2,065.89/x
  3. Step 3: Cross multiply
    3,698.94x = 5,548.46 × 2,065.89
  4. Step 4: Simplify right side
    3,698.94x = 11,462,485.45
  5. Step 5: Solve for x
    x = 11,462,485.45/3,698.94
  6. Step 6: Final answer
    x = 3,098.85

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1.5x scale

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.