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Finding the Fourth Proportional to 5,966.54, 8,951.04 and 2,268.08

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Solution

The fourth proportional to 5,966.54, 8,951.04 and 2,268.08 is: 3,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.54 : 8,951.04 = 2,268.08 : x
  2. Step 2: Convert to fraction form
    5,966.54/8,951.04 = 2,268.08/x
  3. Step 3: Cross multiply
    5,966.54x = 8,951.04 × 2,268.08
  4. Step 4: Simplify right side
    5,966.54x = 20,301,630.05
  5. Step 5: Solve for x
    x = 20,301,630.05/5,966.54
  6. Step 6: Final answer
    x = 3,402.58

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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.