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Finding the Fourth Proportional to 5,122.88, 7,677.12 and 2,928.32

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Solution

The fourth proportional to 5,122.88, 7,677.12 and 2,928.32 is: 4,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.88 : 7,677.12 = 2,928.32 : x
  2. Step 2: Convert to fraction form
    5,122.88/7,677.12 = 2,928.32/x
  3. Step 3: Cross multiply
    5,122.88x = 7,677.12 × 2,928.32
  4. Step 4: Simplify right side
    5,122.88x = 22,481,064.04
  5. Step 5: Solve for x
    x = 22,481,064.04/5,122.88
  6. Step 6: Final answer
    x = 4,388.36

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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.