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Finding the Fourth Proportional to 4,808.50, 6,635.89 and 2,945.14

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Solution

The fourth proportional to 4,808.50, 6,635.89 and 2,945.14 is: 4,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.50 : 6,635.89 = 2,945.14 : x
  2. Step 2: Convert to fraction form
    4,808.50/6,635.89 = 2,945.14/x
  3. Step 3: Cross multiply
    4,808.50x = 6,635.89 × 2,945.14
  4. Step 4: Simplify right side
    4,808.50x = 19,543,625.07
  5. Step 5: Solve for x
    x = 19,543,625.07/4,808.50
  6. Step 6: Final answer
    x = 4,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.