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Finding the Fourth Proportional to 5,334.36, 8,001.74 and 1,438.86

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Solution

The fourth proportional to 5,334.36, 8,001.74 and 1,438.86 is: 2,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.36 : 8,001.74 = 1,438.86 : x
  2. Step 2: Convert to fraction form
    5,334.36/8,001.74 = 1,438.86/x
  3. Step 3: Cross multiply
    5,334.36x = 8,001.74 × 1,438.86
  4. Step 4: Simplify right side
    5,334.36x = 11,513,383.62
  5. Step 5: Solve for x
    x = 11,513,383.62/5,334.36
  6. Step 6: Final answer
    x = 2,158.34

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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.