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Finding the Fourth Proportional to 3,225.01, 4,450.38 and 1,827.76

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Solution

The fourth proportional to 3,225.01, 4,450.38 and 1,827.76 is: 2,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.01 : 4,450.38 = 1,827.76 : x
  2. Step 2: Convert to fraction form
    3,225.01/4,450.38 = 1,827.76/x
  3. Step 3: Cross multiply
    3,225.01x = 4,450.38 × 1,827.76
  4. Step 4: Simplify right side
    3,225.01x = 8,134,204.30
  5. Step 5: Solve for x
    x = 8,134,204.30/3,225.01
  6. Step 6: Final answer
    x = 2,522.23

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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.