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Finding the Fourth Proportional to 3,225.45, 4,838.18 and 885.49

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Solution

The fourth proportional to 3,225.45, 4,838.18 and 885.49 is: 1,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.45 : 4,838.18 = 885.49 : x
  2. Step 2: Convert to fraction form
    3,225.45/4,838.18 = 885.49/x
  3. Step 3: Cross multiply
    3,225.45x = 4,838.18 × 885.49
  4. Step 4: Simplify right side
    3,225.45x = 4,284,144.76
  5. Step 5: Solve for x
    x = 4,284,144.76/3,225.45
  6. Step 6: Final answer
    x = 1,328.23

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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.