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Finding the Fourth Proportional to 4,556.82, 6,289.44 and 2,984

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Solution

The fourth proportional to 4,556.82, 6,289.44 and 2,984 is: 4,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.82 : 6,289.44 = 2,984 : x
  2. Step 2: Convert to fraction form
    4,556.82/6,289.44 = 2,984/x
  3. Step 3: Cross multiply
    4,556.82x = 6,289.44 × 2,984
  4. Step 4: Simplify right side
    4,556.82x = 18,767,674.04
  5. Step 5: Solve for x
    x = 18,767,674.04/4,556.82
  6. Step 6: Final answer
    x = 4,118.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.