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Finding the Fourth Proportional to 6,400.88, 8,830.62 and 3,918.32

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Solution

The fourth proportional to 6,400.88, 8,830.62 and 3,918.32 is: 5,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.88 : 8,830.62 = 3,918.32 : x
  2. Step 2: Convert to fraction form
    6,400.88/8,830.62 = 3,918.32/x
  3. Step 3: Cross multiply
    6,400.88x = 8,830.62 × 3,918.32
  4. Step 4: Simplify right side
    6,400.88x = 34,601,194.96
  5. Step 5: Solve for x
    x = 34,601,194.96/6,400.88
  6. Step 6: Final answer
    x = 5,405.69

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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.