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Finding the Fourth Proportional to 4,371.60, 6,546.60 and 2,902.80

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Solution

The fourth proportional to 4,371.60, 6,546.60 and 2,902.80 is: 4,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.60 : 6,546.60 = 2,902.80 : x
  2. Step 2: Convert to fraction form
    4,371.60/6,546.60 = 2,902.80/x
  3. Step 3: Cross multiply
    4,371.60x = 6,546.60 × 2,902.80
  4. Step 4: Simplify right side
    4,371.60x = 19,003,470.48
  5. Step 5: Solve for x
    x = 19,003,470.48/4,371.60
  6. Step 6: Final answer
    x = 4,347.03

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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.