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Finding the Fourth Proportional to 3,153.84, 4,729.38 and 1,073.40

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Solution

The fourth proportional to 3,153.84, 4,729.38 and 1,073.40 is: 1,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.84 : 4,729.38 = 1,073.40 : x
  2. Step 2: Convert to fraction form
    3,153.84/4,729.38 = 1,073.40/x
  3. Step 3: Cross multiply
    3,153.84x = 4,729.38 × 1,073.40
  4. Step 4: Simplify right side
    3,153.84x = 5,076,516.49
  5. Step 5: Solve for x
    x = 5,076,516.49/3,153.84
  6. Step 6: Final answer
    x = 1,609.63

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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.