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Finding the Fourth Proportional to 5,289.52, 7,302.24 and 3,871.63

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Solution

The fourth proportional to 5,289.52, 7,302.24 and 3,871.63 is: 5,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.52 : 7,302.24 = 3,871.63 : x
  2. Step 2: Convert to fraction form
    5,289.52/7,302.24 = 3,871.63/x
  3. Step 3: Cross multiply
    5,289.52x = 7,302.24 × 3,871.63
  4. Step 4: Simplify right side
    5,289.52x = 28,271,571.45
  5. Step 5: Solve for x
    x = 28,271,571.45/5,289.52
  6. Step 6: Final answer
    x = 5,344.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.