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Finding the Fourth Proportional to 3,455.94, 4,769.22 and 1,884.13

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Solution

The fourth proportional to 3,455.94, 4,769.22 and 1,884.13 is: 2,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.94 : 4,769.22 = 1,884.13 : x
  2. Step 2: Convert to fraction form
    3,455.94/4,769.22 = 1,884.13/x
  3. Step 3: Cross multiply
    3,455.94x = 4,769.22 × 1,884.13
  4. Step 4: Simplify right side
    3,455.94x = 8,985,830.48
  5. Step 5: Solve for x
    x = 8,985,830.48/3,455.94
  6. Step 6: Final answer
    x = 2,600.12

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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.