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Finding the Fourth Proportional to 5,530.81, 7,639.98 and 4,419.54

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Solution

The fourth proportional to 5,530.81, 7,639.98 and 4,419.54 is: 6,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.81 : 7,639.98 = 4,419.54 : x
  2. Step 2: Convert to fraction form
    5,530.81/7,639.98 = 4,419.54/x
  3. Step 3: Cross multiply
    5,530.81x = 7,639.98 × 4,419.54
  4. Step 4: Simplify right side
    5,530.81x = 33,765,197.21
  5. Step 5: Solve for x
    x = 33,765,197.21/5,530.81
  6. Step 6: Final answer
    x = 6,104.93

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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.