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Finding the Fourth Proportional to 3,675.98, 5,072.54 and 2,104.04

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Solution

The fourth proportional to 3,675.98, 5,072.54 and 2,104.04 is: 2,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.98 : 5,072.54 = 2,104.04 : x
  2. Step 2: Convert to fraction form
    3,675.98/5,072.54 = 2,104.04/x
  3. Step 3: Cross multiply
    3,675.98x = 5,072.54 × 2,104.04
  4. Step 4: Simplify right side
    3,675.98x = 10,672,827.06
  5. Step 5: Solve for x
    x = 10,672,827.06/3,675.98
  6. Step 6: Final answer
    x = 2,903.40

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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.