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Finding the Fourth Proportional to 5,824.88, 8,741.56 and 4,367.96

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Solution

The fourth proportional to 5,824.88, 8,741.56 and 4,367.96 is: 6,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.88 : 8,741.56 = 4,367.96 : x
  2. Step 2: Convert to fraction form
    5,824.88/8,741.56 = 4,367.96/x
  3. Step 3: Cross multiply
    5,824.88x = 8,741.56 × 4,367.96
  4. Step 4: Simplify right side
    5,824.88x = 38,182,784.42
  5. Step 5: Solve for x
    x = 38,182,784.42/5,824.88
  6. Step 6: Final answer
    x = 6,555.12

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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.