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Finding the Fourth Proportional to 3,225.98, 4,806.54 and 3,013.81

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Solution

The fourth proportional to 3,225.98, 4,806.54 and 3,013.81 is: 4,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.98 : 4,806.54 = 3,013.81 : x
  2. Step 2: Convert to fraction form
    3,225.98/4,806.54 = 3,013.81/x
  3. Step 3: Cross multiply
    3,225.98x = 4,806.54 × 3,013.81
  4. Step 4: Simplify right side
    3,225.98x = 14,485,986.30
  5. Step 5: Solve for x
    x = 14,485,986.30/3,225.98
  6. Step 6: Final answer
    x = 4,490.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.