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Finding the Fourth Proportional to 4,556.88, 6,832.08 and 2,182.24

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Solution

The fourth proportional to 4,556.88, 6,832.08 and 2,182.24 is: 3,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.88 : 6,832.08 = 2,182.24 : x
  2. Step 2: Convert to fraction form
    4,556.88/6,832.08 = 2,182.24/x
  3. Step 3: Cross multiply
    4,556.88x = 6,832.08 × 2,182.24
  4. Step 4: Simplify right side
    4,556.88x = 14,909,238.26
  5. Step 5: Solve for x
    x = 14,909,238.26/4,556.88
  6. Step 6: Final answer
    x = 3,271.81

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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.