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Finding the Fourth Proportional to 6,399.90, 8,832.06 and 3,567.60

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Solution

The fourth proportional to 6,399.90, 8,832.06 and 3,567.60 is: 4,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.90 : 8,832.06 = 3,567.60 : x
  2. Step 2: Convert to fraction form
    6,399.90/8,832.06 = 3,567.60/x
  3. Step 3: Cross multiply
    6,399.90x = 8,832.06 × 3,567.60
  4. Step 4: Simplify right side
    6,399.90x = 31,509,257.26
  5. Step 5: Solve for x
    x = 31,509,257.26/6,399.90
  6. Step 6: Final answer
    x = 4,923.40

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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.