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Finding the Fourth Proportional to 4,986.08, 7,469.16 and 4,577.84

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Solution

The fourth proportional to 4,986.08, 7,469.16 and 4,577.84 is: 6,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.08 : 7,469.16 = 4,577.84 : x
  2. Step 2: Convert to fraction form
    4,986.08/7,469.16 = 4,577.84/x
  3. Step 3: Cross multiply
    4,986.08x = 7,469.16 × 4,577.84
  4. Step 4: Simplify right side
    4,986.08x = 34,192,619.41
  5. Step 5: Solve for x
    x = 34,192,619.41/4,986.08
  6. Step 6: Final answer
    x = 6,857.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.