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Finding the Fourth Proportional to 3,455.99, 4,769.26 and 1,884.08

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Solution

The fourth proportional to 3,455.99, 4,769.26 and 1,884.08 is: 2,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.99 : 4,769.26 = 1,884.08 : x
  2. Step 2: Convert to fraction form
    3,455.99/4,769.26 = 1,884.08/x
  3. Step 3: Cross multiply
    3,455.99x = 4,769.26 × 1,884.08
  4. Step 4: Simplify right side
    3,455.99x = 8,985,667.38
  5. Step 5: Solve for x
    x = 8,985,667.38/3,455.99
  6. Step 6: Final answer
    x = 2,600.03

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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.