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Finding the Fourth Proportional to 5,754.42, 8,632.89 and 1,858.77

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Solution

The fourth proportional to 5,754.42, 8,632.89 and 1,858.77 is: 2,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.42 : 8,632.89 = 1,858.77 : x
  2. Step 2: Convert to fraction form
    5,754.42/8,632.89 = 1,858.77/x
  3. Step 3: Cross multiply
    5,754.42x = 8,632.89 × 1,858.77
  4. Step 4: Simplify right side
    5,754.42x = 16,046,556.95
  5. Step 5: Solve for x
    x = 16,046,556.95/5,754.42
  6. Step 6: Final answer
    x = 2,788.56

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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.