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Finding the Fourth Proportional to 5,527.28, 8,290.86 and 1,423.28

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Solution

The fourth proportional to 5,527.28, 8,290.86 and 1,423.28 is: 2,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.28 : 8,290.86 = 1,423.28 : x
  2. Step 2: Convert to fraction form
    5,527.28/8,290.86 = 1,423.28/x
  3. Step 3: Cross multiply
    5,527.28x = 8,290.86 × 1,423.28
  4. Step 4: Simplify right side
    5,527.28x = 11,800,215.22
  5. Step 5: Solve for x
    x = 11,800,215.22/5,527.28
  6. Step 6: Final answer
    x = 2,134.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.