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Finding the Fourth Proportional to 5,575.14, 7,693.74 and 3,216.81

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Solution

The fourth proportional to 5,575.14, 7,693.74 and 3,216.81 is: 4,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.14 : 7,693.74 = 3,216.81 : x
  2. Step 2: Convert to fraction form
    5,575.14/7,693.74 = 3,216.81/x
  3. Step 3: Cross multiply
    5,575.14x = 7,693.74 × 3,216.81
  4. Step 4: Simplify right side
    5,575.14x = 24,749,299.77
  5. Step 5: Solve for x
    x = 24,749,299.77/5,575.14
  6. Step 6: Final answer
    x = 4,439.22

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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.