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Finding the Fourth Proportional to 4,097.58, 5,652.99 and 2,856.30

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Solution

The fourth proportional to 4,097.58, 5,652.99 and 2,856.30 is: 3,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.58 : 5,652.99 = 2,856.30 : x
  2. Step 2: Convert to fraction form
    4,097.58/5,652.99 = 2,856.30/x
  3. Step 3: Cross multiply
    4,097.58x = 5,652.99 × 2,856.30
  4. Step 4: Simplify right side
    4,097.58x = 16,146,635.34
  5. Step 5: Solve for x
    x = 16,146,635.34/4,097.58
  6. Step 6: Final answer
    x = 3,940.53

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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.