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Finding the Fourth Proportional to 3,896.20, 5,374.02 and 2,323

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Solution

The fourth proportional to 3,896.20, 5,374.02 and 2,323 is: 3,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.20 : 5,374.02 = 2,323 : x
  2. Step 2: Convert to fraction form
    3,896.20/5,374.02 = 2,323/x
  3. Step 3: Cross multiply
    3,896.20x = 5,374.02 × 2,323
  4. Step 4: Simplify right side
    3,896.20x = 12,483,848.46
  5. Step 5: Solve for x
    x = 12,483,848.46/3,896.20
  6. Step 6: Final answer
    x = 3,204.11

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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.