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Finding the Fourth Proportional to 6,498.62, 8,968.69 and 3,627.84

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Solution

The fourth proportional to 6,498.62, 8,968.69 and 3,627.84 is: 5,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.62 : 8,968.69 = 3,627.84 : x
  2. Step 2: Convert to fraction form
    6,498.62/8,968.69 = 3,627.84/x
  3. Step 3: Cross multiply
    6,498.62x = 8,968.69 × 3,627.84
  4. Step 4: Simplify right side
    6,498.62x = 32,537,010.50
  5. Step 5: Solve for x
    x = 32,537,010.50/6,498.62
  6. Step 6: Final answer
    x = 5,006.76

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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.