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Finding the Fourth Proportional to 6,408.52, 8,847.84 and 5,232.40

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Solution

The fourth proportional to 6,408.52, 8,847.84 and 5,232.40 is: 7,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.52 : 8,847.84 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    6,408.52/8,847.84 = 5,232.40/x
  3. Step 3: Cross multiply
    6,408.52x = 8,847.84 × 5,232.40
  4. Step 4: Simplify right side
    6,408.52x = 46,295,438.02
  5. Step 5: Solve for x
    x = 46,295,438.02/6,408.52
  6. Step 6: Final answer
    x = 7,224.05

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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.