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Finding the Fourth Proportional to 5,796.40, 8,001.44 and 3,701.76

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Solution

The fourth proportional to 5,796.40, 8,001.44 and 3,701.76 is: 5,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.40 : 8,001.44 = 3,701.76 : x
  2. Step 2: Convert to fraction form
    5,796.40/8,001.44 = 3,701.76/x
  3. Step 3: Cross multiply
    5,796.40x = 8,001.44 × 3,701.76
  4. Step 4: Simplify right side
    5,796.40x = 29,619,410.53
  5. Step 5: Solve for x
    x = 29,619,410.53/5,796.40
  6. Step 6: Final answer
    x = 5,109.97

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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.