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Finding the Fourth Proportional to 5,324.40, 7,967.70 and 4,638.60

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Solution

The fourth proportional to 5,324.40, 7,967.70 and 4,638.60 is: 6,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.40 : 7,967.70 = 4,638.60 : x
  2. Step 2: Convert to fraction form
    5,324.40/7,967.70 = 4,638.60/x
  3. Step 3: Cross multiply
    5,324.40x = 7,967.70 × 4,638.60
  4. Step 4: Simplify right side
    5,324.40x = 36,958,973.22
  5. Step 5: Solve for x
    x = 36,958,973.22/5,324.40
  6. Step 6: Final answer
    x = 6,941.43

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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.