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Finding the Fourth Proportional to 4,968.88, 6,856.96 and 2,815.20

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Solution

The fourth proportional to 4,968.88, 6,856.96 and 2,815.20 is: 3,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.88 : 6,856.96 = 2,815.20 : x
  2. Step 2: Convert to fraction form
    4,968.88/6,856.96 = 2,815.20/x
  3. Step 3: Cross multiply
    4,968.88x = 6,856.96 × 2,815.20
  4. Step 4: Simplify right side
    4,968.88x = 19,303,713.79
  5. Step 5: Solve for x
    x = 19,303,713.79/4,968.88
  6. Step 6: Final answer
    x = 3,884.92

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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.