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Finding the Fourth Proportional to 5,984.96, 8,247.60 and 4,494.56

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Solution

The fourth proportional to 5,984.96, 8,247.60 and 4,494.56 is: 6,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.96 : 8,247.60 = 4,494.56 : x
  2. Step 2: Convert to fraction form
    5,984.96/8,247.60 = 4,494.56/x
  3. Step 3: Cross multiply
    5,984.96x = 8,247.60 × 4,494.56
  4. Step 4: Simplify right side
    5,984.96x = 37,069,333.06
  5. Step 5: Solve for x
    x = 37,069,333.06/5,984.96
  6. Step 6: Final answer
    x = 6,193.75

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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.