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Finding the Fourth Proportional to 3,809.04, 5,252.04 and 3,147.72

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Solution

The fourth proportional to 3,809.04, 5,252.04 and 3,147.72 is: 4,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.04 : 5,252.04 = 3,147.72 : x
  2. Step 2: Convert to fraction form
    3,809.04/5,252.04 = 3,147.72/x
  3. Step 3: Cross multiply
    3,809.04x = 5,252.04 × 3,147.72
  4. Step 4: Simplify right side
    3,809.04x = 16,531,951.35
  5. Step 5: Solve for x
    x = 16,531,951.35/3,809.04
  6. Step 6: Final answer
    x = 4,340.19

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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.