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Finding the Fourth Proportional to 5,527.05, 8,291 and 1,831.90

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Solution

The fourth proportional to 5,527.05, 8,291 and 1,831.90 is: 2,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.05 : 8,291 = 1,831.90 : x
  2. Step 2: Convert to fraction form
    5,527.05/8,291 = 1,831.90/x
  3. Step 3: Cross multiply
    5,527.05x = 8,291 × 1,831.90
  4. Step 4: Simplify right side
    5,527.05x = 15,188,282.90
  5. Step 5: Solve for x
    x = 15,188,282.90/5,527.05
  6. Step 6: Final answer
    x = 2,747.99

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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.