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Finding the Fourth Proportional to 4,580.64, 6,865.20 and 2,268

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Solution

The fourth proportional to 4,580.64, 6,865.20 and 2,268 is: 3,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.64 : 6,865.20 = 2,268 : x
  2. Step 2: Convert to fraction form
    4,580.64/6,865.20 = 2,268/x
  3. Step 3: Cross multiply
    4,580.64x = 6,865.20 × 2,268
  4. Step 4: Simplify right side
    4,580.64x = 15,570,273.60
  5. Step 5: Solve for x
    x = 15,570,273.60/4,580.64
  6. Step 6: Final answer
    x = 3,399.15

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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.