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Finding the Fourth Proportional to 4,527.16, 6,777.06 and 4,086.52

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Solution

The fourth proportional to 4,527.16, 6,777.06 and 4,086.52 is: 6,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.16 : 6,777.06 = 4,086.52 : x
  2. Step 2: Convert to fraction form
    4,527.16/6,777.06 = 4,086.52/x
  3. Step 3: Cross multiply
    4,527.16x = 6,777.06 × 4,086.52
  4. Step 4: Simplify right side
    4,527.16x = 27,694,591.23
  5. Step 5: Solve for x
    x = 27,694,591.23/4,527.16
  6. Step 6: Final answer
    x = 6,117.43

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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.