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Finding the Fourth Proportional to 3,999.68, 5,514.56 and 3,056.64

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Solution

The fourth proportional to 3,999.68, 5,514.56 and 3,056.64 is: 4,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.68 : 5,514.56 = 3,056.64 : x
  2. Step 2: Convert to fraction form
    3,999.68/5,514.56 = 3,056.64/x
  3. Step 3: Cross multiply
    3,999.68x = 5,514.56 × 3,056.64
  4. Step 4: Simplify right side
    3,999.68x = 16,856,024.68
  5. Step 5: Solve for x
    x = 16,856,024.68/3,999.68
  6. Step 6: Final answer
    x = 4,214.34

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1.5x scale

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.