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Finding the Fourth Proportional to 5,913.90, 8,161.76 and 4,419.23

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Solution

The fourth proportional to 5,913.90, 8,161.76 and 4,419.23 is: 6,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.90 : 8,161.76 = 4,419.23 : x
  2. Step 2: Convert to fraction form
    5,913.90/8,161.76 = 4,419.23/x
  3. Step 3: Cross multiply
    5,913.90x = 8,161.76 × 4,419.23
  4. Step 4: Simplify right side
    5,913.90x = 36,068,664.88
  5. Step 5: Solve for x
    x = 36,068,664.88/5,913.90
  6. Step 6: Final answer
    x = 6,098.96

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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.