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Finding the Fourth Proportional to 3,455.96, 4,769.16 and 1,884.02

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Solution

The fourth proportional to 3,455.96, 4,769.16 and 1,884.02 is: 2,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.96 : 4,769.16 = 1,884.02 : x
  2. Step 2: Convert to fraction form
    3,455.96/4,769.16 = 1,884.02/x
  3. Step 3: Cross multiply
    3,455.96x = 4,769.16 × 1,884.02
  4. Step 4: Simplify right side
    3,455.96x = 8,985,192.82
  5. Step 5: Solve for x
    x = 8,985,192.82/3,455.96
  6. Step 6: Final answer
    x = 2,599.91

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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.