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Finding the Fourth Proportional to 4,006.16, 5,522.24 and 3,928.40

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Solution

The fourth proportional to 4,006.16, 5,522.24 and 3,928.40 is: 5,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.16 : 5,522.24 = 3,928.40 : x
  2. Step 2: Convert to fraction form
    4,006.16/5,522.24 = 3,928.40/x
  3. Step 3: Cross multiply
    4,006.16x = 5,522.24 × 3,928.40
  4. Step 4: Simplify right side
    4,006.16x = 21,693,567.62
  5. Step 5: Solve for x
    x = 21,693,567.62/4,006.16
  6. Step 6: Final answer
    x = 5,415.05

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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.