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Finding the Fourth Proportional to 4,866, 6,708.31 and 4,112.90

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Solution

The fourth proportional to 4,866, 6,708.31 and 4,112.90 is: 5,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 6,708.31 = 4,112.90 : x
  2. Step 2: Convert to fraction form
    4,866/6,708.31 = 4,112.90/x
  3. Step 3: Cross multiply
    4,866x = 6,708.31 × 4,112.90
  4. Step 4: Simplify right side
    4,866x = 27,590,608.20
  5. Step 5: Solve for x
    x = 27,590,608.20/4,866
  6. Step 6: Final answer
    x = 5,670.08

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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.