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Finding the Fourth Proportional to 4,150.60, 5,724.90 and 3,265

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Solution

The fourth proportional to 4,150.60, 5,724.90 and 3,265 is: 4,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.60 : 5,724.90 = 3,265 : x
  2. Step 2: Convert to fraction form
    4,150.60/5,724.90 = 3,265/x
  3. Step 3: Cross multiply
    4,150.60x = 5,724.90 × 3,265
  4. Step 4: Simplify right side
    4,150.60x = 18,691,798.50
  5. Step 5: Solve for x
    x = 18,691,798.50/4,150.60
  6. Step 6: Final answer
    x = 4,503.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.