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Finding the Fourth Proportional to 4,831.22, 7,245.41 and 1,543.43

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Solution

The fourth proportional to 4,831.22, 7,245.41 and 1,543.43 is: 2,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.22 : 7,245.41 = 1,543.43 : x
  2. Step 2: Convert to fraction form
    4,831.22/7,245.41 = 1,543.43/x
  3. Step 3: Cross multiply
    4,831.22x = 7,245.41 × 1,543.43
  4. Step 4: Simplify right side
    4,831.22x = 11,182,739.21
  5. Step 5: Solve for x
    x = 11,182,739.21/4,831.22
  6. Step 6: Final answer
    x = 2,314.68

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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.