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Finding the Fourth Proportional to 3,333.64, 4,993.95 and 2,871.40

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Solution

The fourth proportional to 3,333.64, 4,993.95 and 2,871.40 is: 4,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.64 : 4,993.95 = 2,871.40 : x
  2. Step 2: Convert to fraction form
    3,333.64/4,993.95 = 2,871.40/x
  3. Step 3: Cross multiply
    3,333.64x = 4,993.95 × 2,871.40
  4. Step 4: Simplify right side
    3,333.64x = 14,339,628.03
  5. Step 5: Solve for x
    x = 14,339,628.03/3,333.64
  6. Step 6: Final answer
    x = 4,301.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.