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Finding the Fourth Proportional to 4,807.96, 7,207.25 and 2,469.08

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Solution

The fourth proportional to 4,807.96, 7,207.25 and 2,469.08 is: 3,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.96 : 7,207.25 = 2,469.08 : x
  2. Step 2: Convert to fraction form
    4,807.96/7,207.25 = 2,469.08/x
  3. Step 3: Cross multiply
    4,807.96x = 7,207.25 × 2,469.08
  4. Step 4: Simplify right side
    4,807.96x = 17,795,282.50
  5. Step 5: Solve for x
    x = 17,795,282.50/4,807.96
  6. Step 6: Final answer
    x = 3,701.21

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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.