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Finding the Fourth Proportional to 3,750.98, 5,624.84 and 1,286.04

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Solution

The fourth proportional to 3,750.98, 5,624.84 and 1,286.04 is: 1,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.98 : 5,624.84 = 1,286.04 : x
  2. Step 2: Convert to fraction form
    3,750.98/5,624.84 = 1,286.04/x
  3. Step 3: Cross multiply
    3,750.98x = 5,624.84 × 1,286.04
  4. Step 4: Simplify right side
    3,750.98x = 7,233,762.80
  5. Step 5: Solve for x
    x = 7,233,762.80/3,750.98
  6. Step 6: Final answer
    x = 1,928.50

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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.