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Finding the Fourth Proportional to 4,047.32, 6,072.87 and 2,098.46

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Solution

The fourth proportional to 4,047.32, 6,072.87 and 2,098.46 is: 3,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.32 : 6,072.87 = 2,098.46 : x
  2. Step 2: Convert to fraction form
    4,047.32/6,072.87 = 2,098.46/x
  3. Step 3: Cross multiply
    4,047.32x = 6,072.87 × 2,098.46
  4. Step 4: Simplify right side
    4,047.32x = 12,743,674.78
  5. Step 5: Solve for x
    x = 12,743,674.78/4,047.32
  6. Step 6: Final answer
    x = 3,148.67

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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.