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Finding the Fourth Proportional to 5,527.40, 8,292 and 2,754.20

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Solution

The fourth proportional to 5,527.40, 8,292 and 2,754.20 is: 4,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.40 : 8,292 = 2,754.20 : x
  2. Step 2: Convert to fraction form
    5,527.40/8,292 = 2,754.20/x
  3. Step 3: Cross multiply
    5,527.40x = 8,292 × 2,754.20
  4. Step 4: Simplify right side
    5,527.40x = 22,837,826.40
  5. Step 5: Solve for x
    x = 22,837,826.40/5,527.40
  6. Step 6: Final answer
    x = 4,131.75

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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.