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Finding the Fourth Proportional to 5,926.16, 8,889.24 and 2,846

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Solution

The fourth proportional to 5,926.16, 8,889.24 and 2,846 is: 4,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.16 : 8,889.24 = 2,846 : x
  2. Step 2: Convert to fraction form
    5,926.16/8,889.24 = 2,846/x
  3. Step 3: Cross multiply
    5,926.16x = 8,889.24 × 2,846
  4. Step 4: Simplify right side
    5,926.16x = 25,298,777.04
  5. Step 5: Solve for x
    x = 25,298,777.04/5,926.16
  6. Step 6: Final answer
    x = 4,269

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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.