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Finding the Fourth Proportional to 5,527.38, 8,282.56 and 2,564

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Solution

The fourth proportional to 5,527.38, 8,282.56 and 2,564 is: 3,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.38 : 8,282.56 = 2,564 : x
  2. Step 2: Convert to fraction form
    5,527.38/8,282.56 = 2,564/x
  3. Step 3: Cross multiply
    5,527.38x = 8,282.56 × 2,564
  4. Step 4: Simplify right side
    5,527.38x = 21,236,483.84
  5. Step 5: Solve for x
    x = 21,236,483.84/5,527.38
  6. Step 6: Final answer
    x = 3,842.05

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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.