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Finding the Fourth Proportional to 5,040.40, 7,546.20 and 4,464.40

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Solution

The fourth proportional to 5,040.40, 7,546.20 and 4,464.40 is: 6,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040.40 : 7,546.20 = 4,464.40 : x
  2. Step 2: Convert to fraction form
    5,040.40/7,546.20 = 4,464.40/x
  3. Step 3: Cross multiply
    5,040.40x = 7,546.20 × 4,464.40
  4. Step 4: Simplify right side
    5,040.40x = 33,689,255.28
  5. Step 5: Solve for x
    x = 33,689,255.28/5,040.40
  6. Step 6: Final answer
    x = 6,683.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.