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Finding the Fourth Proportional to 5,638.32, 8,409.81 and 5,313.09

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Solution

The fourth proportional to 5,638.32, 8,409.81 and 5,313.09 is: 7,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.32 : 8,409.81 = 5,313.09 : x
  2. Step 2: Convert to fraction form
    5,638.32/8,409.81 = 5,313.09/x
  3. Step 3: Cross multiply
    5,638.32x = 8,409.81 × 5,313.09
  4. Step 4: Simplify right side
    5,638.32x = 44,682,077.41
  5. Step 5: Solve for x
    x = 44,682,077.41/5,638.32
  6. Step 6: Final answer
    x = 7,924.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.