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Finding the Fourth Proportional to 3,796.46, 5,239.12 and 2,303.98

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Solution

The fourth proportional to 3,796.46, 5,239.12 and 2,303.98 is: 3,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.46 : 5,239.12 = 2,303.98 : x
  2. Step 2: Convert to fraction form
    3,796.46/5,239.12 = 2,303.98/x
  3. Step 3: Cross multiply
    3,796.46x = 5,239.12 × 2,303.98
  4. Step 4: Simplify right side
    3,796.46x = 12,070,827.70
  5. Step 5: Solve for x
    x = 12,070,827.70/3,796.46
  6. Step 6: Final answer
    x = 3,179.50

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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.