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Finding the Fourth Proportional to 4,174.69, 6,256.56 and 2,326.67

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Solution

The fourth proportional to 4,174.69, 6,256.56 and 2,326.67 is: 3,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.69 : 6,256.56 = 2,326.67 : x
  2. Step 2: Convert to fraction form
    4,174.69/6,256.56 = 2,326.67/x
  3. Step 3: Cross multiply
    4,174.69x = 6,256.56 × 2,326.67
  4. Step 4: Simplify right side
    4,174.69x = 14,556,974.82
  5. Step 5: Solve for x
    x = 14,556,974.82/4,174.69
  6. Step 6: Final answer
    x = 3,486.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.