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Finding the Fourth Proportional to 5,700.78, 8,556.64 and 3,237.67

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Solution

The fourth proportional to 5,700.78, 8,556.64 and 3,237.67 is: 4,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.78 : 8,556.64 = 3,237.67 : x
  2. Step 2: Convert to fraction form
    5,700.78/8,556.64 = 3,237.67/x
  3. Step 3: Cross multiply
    5,700.78x = 8,556.64 × 3,237.67
  4. Step 4: Simplify right side
    5,700.78x = 27,703,579.23
  5. Step 5: Solve for x
    x = 27,703,579.23/5,700.78
  6. Step 6: Final answer
    x = 4,859.61

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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.