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Finding the Fourth Proportional to 5,262.12, 7,263.54 and 3,274.38

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Solution

The fourth proportional to 5,262.12, 7,263.54 and 3,274.38 is: 4,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.12 : 7,263.54 = 3,274.38 : x
  2. Step 2: Convert to fraction form
    5,262.12/7,263.54 = 3,274.38/x
  3. Step 3: Cross multiply
    5,262.12x = 7,263.54 × 3,274.38
  4. Step 4: Simplify right side
    5,262.12x = 23,783,590.11
  5. Step 5: Solve for x
    x = 23,783,590.11/5,262.12
  6. Step 6: Final answer
    x = 4,519.77

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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.