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Finding the Fourth Proportional to 4,765.04, 6,576.56 and 3,193.36

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Solution

The fourth proportional to 4,765.04, 6,576.56 and 3,193.36 is: 4,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.04 : 6,576.56 = 3,193.36 : x
  2. Step 2: Convert to fraction form
    4,765.04/6,576.56 = 3,193.36/x
  3. Step 3: Cross multiply
    4,765.04x = 6,576.56 × 3,193.36
  4. Step 4: Simplify right side
    4,765.04x = 21,001,323.64
  5. Step 5: Solve for x
    x = 21,001,323.64/4,765.04
  6. Step 6: Final answer
    x = 4,407.38

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Why These Related Problems?

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