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Finding the Fourth Proportional to 4,747.31, 7,123.94 and 2,284.67

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Solution

The fourth proportional to 4,747.31, 7,123.94 and 2,284.67 is: 3,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.31 : 7,123.94 = 2,284.67 : x
  2. Step 2: Convert to fraction form
    4,747.31/7,123.94 = 2,284.67/x
  3. Step 3: Cross multiply
    4,747.31x = 7,123.94 × 2,284.67
  4. Step 4: Simplify right side
    4,747.31x = 16,275,852.00
  5. Step 5: Solve for x
    x = 16,275,852.00/4,747.31
  6. Step 6: Final answer
    x = 3,428.44

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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.