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Finding the Fourth Proportional to 6,499.16, 8,968.86 and 3,515

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Solution

The fourth proportional to 6,499.16, 8,968.86 and 3,515 is: 4,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.16 : 8,968.86 = 3,515 : x
  2. Step 2: Convert to fraction form
    6,499.16/8,968.86 = 3,515/x
  3. Step 3: Cross multiply
    6,499.16x = 8,968.86 × 3,515
  4. Step 4: Simplify right side
    6,499.16x = 31,525,542.90
  5. Step 5: Solve for x
    x = 31,525,542.90/6,499.16
  6. Step 6: Final answer
    x = 4,850.71

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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.