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Finding the Fourth Proportional to 5,823.90, 8,029.53 and 3,831.30

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Solution

The fourth proportional to 5,823.90, 8,029.53 and 3,831.30 is: 5,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.90 : 8,029.53 = 3,831.30 : x
  2. Step 2: Convert to fraction form
    5,823.90/8,029.53 = 3,831.30/x
  3. Step 3: Cross multiply
    5,823.90x = 8,029.53 × 3,831.30
  4. Step 4: Simplify right side
    5,823.90x = 30,763,538.29
  5. Step 5: Solve for x
    x = 30,763,538.29/5,823.90
  6. Step 6: Final answer
    x = 5,282.29

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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.