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Finding the Fourth Proportional to 5,822.40, 8,736.84 and 3,225

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Solution

The fourth proportional to 5,822.40, 8,736.84 and 3,225 is: 4,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.40 : 8,736.84 = 3,225 : x
  2. Step 2: Convert to fraction form
    5,822.40/8,736.84 = 3,225/x
  3. Step 3: Cross multiply
    5,822.40x = 8,736.84 × 3,225
  4. Step 4: Simplify right side
    5,822.40x = 28,176,309
  5. Step 5: Solve for x
    x = 28,176,309/5,822.40
  6. Step 6: Final answer
    x = 4,839.29

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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.