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Finding the Fourth Proportional to 5,438.34, 8,111.75 and 5,274.32

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Solution

The fourth proportional to 5,438.34, 8,111.75 and 5,274.32 is: 7,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.34 : 8,111.75 = 5,274.32 : x
  2. Step 2: Convert to fraction form
    5,438.34/8,111.75 = 5,274.32/x
  3. Step 3: Cross multiply
    5,438.34x = 8,111.75 × 5,274.32
  4. Step 4: Simplify right side
    5,438.34x = 42,783,898.33
  5. Step 5: Solve for x
    x = 42,783,898.33/5,438.34
  6. Step 6: Final answer
    x = 7,867.09

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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.