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Finding the Fourth Proportional to 3,827.12, 5,730.92 and 3,506.36

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Solution

The fourth proportional to 3,827.12, 5,730.92 and 3,506.36 is: 5,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.12 : 5,730.92 = 3,506.36 : x
  2. Step 2: Convert to fraction form
    3,827.12/5,730.92 = 3,506.36/x
  3. Step 3: Cross multiply
    3,827.12x = 5,730.92 × 3,506.36
  4. Step 4: Simplify right side
    3,827.12x = 20,094,668.65
  5. Step 5: Solve for x
    x = 20,094,668.65/3,827.12
  6. Step 6: Final answer
    x = 5,250.60

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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.