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Finding the Fourth Proportional to 4,813.76, 7,222.38 and 1,890.44

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Solution

The fourth proportional to 4,813.76, 7,222.38 and 1,890.44 is: 2,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.76 : 7,222.38 = 1,890.44 : x
  2. Step 2: Convert to fraction form
    4,813.76/7,222.38 = 1,890.44/x
  3. Step 3: Cross multiply
    4,813.76x = 7,222.38 × 1,890.44
  4. Step 4: Simplify right side
    4,813.76x = 13,653,476.05
  5. Step 5: Solve for x
    x = 13,653,476.05/4,813.76
  6. Step 6: Final answer
    x = 2,836.34

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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.