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Finding the Fourth Proportional to 3,217.56, 4,827.12 and 909

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Solution

The fourth proportional to 3,217.56, 4,827.12 and 909 is: 1,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.56 : 4,827.12 = 909 : x
  2. Step 2: Convert to fraction form
    3,217.56/4,827.12 = 909/x
  3. Step 3: Cross multiply
    3,217.56x = 4,827.12 × 909
  4. Step 4: Simplify right side
    3,217.56x = 4,387,852.08
  5. Step 5: Solve for x
    x = 4,387,852.08/3,217.56
  6. Step 6: Final answer
    x = 1,363.72

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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.