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Finding the Fourth Proportional to 4,654.33, 6,973.35 and 3,879.31

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Solution

The fourth proportional to 4,654.33, 6,973.35 and 3,879.31 is: 5,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.33 : 6,973.35 = 3,879.31 : x
  2. Step 2: Convert to fraction form
    4,654.33/6,973.35 = 3,879.31/x
  3. Step 3: Cross multiply
    4,654.33x = 6,973.35 × 3,879.31
  4. Step 4: Simplify right side
    4,654.33x = 27,051,786.39
  5. Step 5: Solve for x
    x = 27,051,786.39/4,654.33
  6. Step 6: Final answer
    x = 5,812.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.