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Finding the Fourth Proportional to 3,234.76, 4,852.02 and 2,004.28

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Solution

The fourth proportional to 3,234.76, 4,852.02 and 2,004.28 is: 3,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.76 : 4,852.02 = 2,004.28 : x
  2. Step 2: Convert to fraction form
    3,234.76/4,852.02 = 2,004.28/x
  3. Step 3: Cross multiply
    3,234.76x = 4,852.02 × 2,004.28
  4. Step 4: Simplify right side
    3,234.76x = 9,724,806.65
  5. Step 5: Solve for x
    x = 9,724,806.65/3,234.76
  6. Step 6: Final answer
    x = 3,006.35

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