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Finding the Fourth Proportional to 4,905.40, 7,361.10 and 1,983.40

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Solution

The fourth proportional to 4,905.40, 7,361.10 and 1,983.40 is: 2,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.40 : 7,361.10 = 1,983.40 : x
  2. Step 2: Convert to fraction form
    4,905.40/7,361.10 = 1,983.40/x
  3. Step 3: Cross multiply
    4,905.40x = 7,361.10 × 1,983.40
  4. Step 4: Simplify right side
    4,905.40x = 14,600,005.74
  5. Step 5: Solve for x
    x = 14,600,005.74/4,905.40
  6. Step 6: Final answer
    x = 2,976.31

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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.