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Finding the Fourth Proportional to 5,104.08, 7,656.88 and 4,824

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Solution

The fourth proportional to 5,104.08, 7,656.88 and 4,824 is: 7,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.08 : 7,656.88 = 4,824 : x
  2. Step 2: Convert to fraction form
    5,104.08/7,656.88 = 4,824/x
  3. Step 3: Cross multiply
    5,104.08x = 7,656.88 × 4,824
  4. Step 4: Simplify right side
    5,104.08x = 36,936,789.12
  5. Step 5: Solve for x
    x = 36,936,789.12/5,104.08
  6. Step 6: Final answer
    x = 7,236.72

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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.