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Finding the Fourth Proportional to 5,497.67, 8,246.42 and 1,337.67

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Solution

The fourth proportional to 5,497.67, 8,246.42 and 1,337.67 is: 2,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.67 : 8,246.42 = 1,337.67 : x
  2. Step 2: Convert to fraction form
    5,497.67/8,246.42 = 1,337.67/x
  3. Step 3: Cross multiply
    5,497.67x = 8,246.42 × 1,337.67
  4. Step 4: Simplify right side
    5,497.67x = 11,030,988.64
  5. Step 5: Solve for x
    x = 11,030,988.64/5,497.67
  6. Step 6: Final answer
    x = 2,006.48

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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.