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Finding the Fourth Proportional to 3,657.60, 5,016.96 and 3,657.60

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Solution

The fourth proportional to 3,657.60, 5,016.96 and 3,657.60 is: 5,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.60 : 5,016.96 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    3,657.60/5,016.96 = 3,657.60/x
  3. Step 3: Cross multiply
    3,657.60x = 5,016.96 × 3,657.60
  4. Step 4: Simplify right side
    3,657.60x = 18,350,032.90
  5. Step 5: Solve for x
    x = 18,350,032.90/3,657.60
  6. Step 6: Final answer
    x = 5,016.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.