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Finding the Fourth Proportional to 3,894.48, 5,846.40 and 2,980.80

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Solution

The fourth proportional to 3,894.48, 5,846.40 and 2,980.80 is: 4,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.48 : 5,846.40 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    3,894.48/5,846.40 = 2,980.80/x
  3. Step 3: Cross multiply
    3,894.48x = 5,846.40 × 2,980.80
  4. Step 4: Simplify right side
    3,894.48x = 17,426,949.12
  5. Step 5: Solve for x
    x = 17,426,949.12/3,894.48
  6. Step 6: Final answer
    x = 4,474.78

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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.