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Finding the Fourth Proportional to 5,675.30, 7,831.91 and 3,191.30

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Solution

The fourth proportional to 5,675.30, 7,831.91 and 3,191.30 is: 4,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.30 : 7,831.91 = 3,191.30 : x
  2. Step 2: Convert to fraction form
    5,675.30/7,831.91 = 3,191.30/x
  3. Step 3: Cross multiply
    5,675.30x = 7,831.91 × 3,191.30
  4. Step 4: Simplify right side
    5,675.30x = 24,993,943.20
  5. Step 5: Solve for x
    x = 24,993,943.20/5,675.30
  6. Step 6: Final answer
    x = 4,403.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.