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Finding the Fourth Proportional to 3,482.80, 4,806.54 and 2,224.06

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Solution

The fourth proportional to 3,482.80, 4,806.54 and 2,224.06 is: 3,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.80 : 4,806.54 = 2,224.06 : x
  2. Step 2: Convert to fraction form
    3,482.80/4,806.54 = 2,224.06/x
  3. Step 3: Cross multiply
    3,482.80x = 4,806.54 × 2,224.06
  4. Step 4: Simplify right side
    3,482.80x = 10,690,021.34
  5. Step 5: Solve for x
    x = 10,690,021.34/3,482.80
  6. Step 6: Final answer
    x = 3,069.38

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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.