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Finding the Fourth Proportional to 3,402.96, 5,104.50 and 1,094.46

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Solution

The fourth proportional to 3,402.96, 5,104.50 and 1,094.46 is: 1,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.96 : 5,104.50 = 1,094.46 : x
  2. Step 2: Convert to fraction form
    3,402.96/5,104.50 = 1,094.46/x
  3. Step 3: Cross multiply
    3,402.96x = 5,104.50 × 1,094.46
  4. Step 4: Simplify right side
    3,402.96x = 5,586,671.07
  5. Step 5: Solve for x
    x = 5,586,671.07/3,402.96
  6. Step 6: Final answer
    x = 1,641.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.