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Finding the Fourth Proportional to 5,268.48, 7,902.48 and 3,072.80

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Solution

The fourth proportional to 5,268.48, 7,902.48 and 3,072.80 is: 4,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.48 : 7,902.48 = 3,072.80 : x
  2. Step 2: Convert to fraction form
    5,268.48/7,902.48 = 3,072.80/x
  3. Step 3: Cross multiply
    5,268.48x = 7,902.48 × 3,072.80
  4. Step 4: Simplify right side
    5,268.48x = 24,282,740.54
  5. Step 5: Solve for x
    x = 24,282,740.54/5,268.48
  6. Step 6: Final answer
    x = 4,609.06

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1.5x scale

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.