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Finding the Fourth Proportional to 5,913.64, 8,871.27 and 2,017

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Solution

The fourth proportional to 5,913.64, 8,871.27 and 2,017 is: 3,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.64 : 8,871.27 = 2,017 : x
  2. Step 2: Convert to fraction form
    5,913.64/8,871.27 = 2,017/x
  3. Step 3: Cross multiply
    5,913.64x = 8,871.27 × 2,017
  4. Step 4: Simplify right side
    5,913.64x = 17,893,351.59
  5. Step 5: Solve for x
    x = 17,893,351.59/5,913.64
  6. Step 6: Final answer
    x = 3,025.78

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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.