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Finding the Fourth Proportional to 5,478.84, 8,216.64 and 2,015.28

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Solution

The fourth proportional to 5,478.84, 8,216.64 and 2,015.28 is: 3,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.84 : 8,216.64 = 2,015.28 : x
  2. Step 2: Convert to fraction form
    5,478.84/8,216.64 = 2,015.28/x
  3. Step 3: Cross multiply
    5,478.84x = 8,216.64 × 2,015.28
  4. Step 4: Simplify right side
    5,478.84x = 16,558,830.26
  5. Step 5: Solve for x
    x = 16,558,830.26/5,478.84
  6. Step 6: Final answer
    x = 3,022.32

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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.