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Finding the Fourth Proportional to 5,309.44, 7,305.60 and 5,173.76

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Solution

The fourth proportional to 5,309.44, 7,305.60 and 5,173.76 is: 7,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.44 : 7,305.60 = 5,173.76 : x
  2. Step 2: Convert to fraction form
    5,309.44/7,305.60 = 5,173.76/x
  3. Step 3: Cross multiply
    5,309.44x = 7,305.60 × 5,173.76
  4. Step 4: Simplify right side
    5,309.44x = 37,797,421.06
  5. Step 5: Solve for x
    x = 37,797,421.06/5,309.44
  6. Step 6: Final answer
    x = 7,118.91

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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.