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Finding the Fourth Proportional to 5,927.79, 8,180.31 and 3,275.31

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Solution

The fourth proportional to 5,927.79, 8,180.31 and 3,275.31 is: 4,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.79 : 8,180.31 = 3,275.31 : x
  2. Step 2: Convert to fraction form
    5,927.79/8,180.31 = 3,275.31/x
  3. Step 3: Cross multiply
    5,927.79x = 8,180.31 × 3,275.31
  4. Step 4: Simplify right side
    5,927.79x = 26,793,051.15
  5. Step 5: Solve for x
    x = 26,793,051.15/5,927.79
  6. Step 6: Final answer
    x = 4,519.91

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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.