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Finding the Fourth Proportional to 4,259.56, 6,379.62 and 3,831.88

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Solution

The fourth proportional to 4,259.56, 6,379.62 and 3,831.88 is: 5,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.56 : 6,379.62 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    4,259.56/6,379.62 = 3,831.88/x
  3. Step 3: Cross multiply
    4,259.56x = 6,379.62 × 3,831.88
  4. Step 4: Simplify right side
    4,259.56x = 24,445,938.29
  5. Step 5: Solve for x
    x = 24,445,938.29/4,259.56
  6. Step 6: Final answer
    x = 5,739.08

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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.