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Finding the Fourth Proportional to 3,996.48, 5,996.64 and 2,264.64

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Solution

The fourth proportional to 3,996.48, 5,996.64 and 2,264.64 is: 3,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.48 : 5,996.64 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    3,996.48/5,996.64 = 2,264.64/x
  3. Step 3: Cross multiply
    3,996.48x = 5,996.64 × 2,264.64
  4. Step 4: Simplify right side
    3,996.48x = 13,580,230.81
  5. Step 5: Solve for x
    x = 13,580,230.81/3,996.48
  6. Step 6: Final answer
    x = 3,398.05

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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.