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Finding the Fourth Proportional to 5,606.38, 8,396.61 and 5,411.98

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Solution

The fourth proportional to 5,606.38, 8,396.61 and 5,411.98 is: 8,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.38 : 8,396.61 = 5,411.98 : x
  2. Step 2: Convert to fraction form
    5,606.38/8,396.61 = 5,411.98/x
  3. Step 3: Cross multiply
    5,606.38x = 8,396.61 × 5,411.98
  4. Step 4: Simplify right side
    5,606.38x = 45,442,285.39
  5. Step 5: Solve for x
    x = 45,442,285.39/5,606.38
  6. Step 6: Final answer
    x = 8,105.46

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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.