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Finding the Fourth Proportional to 5,793.06, 7,994.01 and 3,275.27

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Solution

The fourth proportional to 5,793.06, 7,994.01 and 3,275.27 is: 4,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.06 : 7,994.01 = 3,275.27 : x
  2. Step 2: Convert to fraction form
    5,793.06/7,994.01 = 3,275.27/x
  3. Step 3: Cross multiply
    5,793.06x = 7,994.01 × 3,275.27
  4. Step 4: Simplify right side
    5,793.06x = 26,182,541.13
  5. Step 5: Solve for x
    x = 26,182,541.13/5,793.06
  6. Step 6: Final answer
    x = 4,519.64

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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.