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Finding the Fourth Proportional to 5,676.64, 7,832.16 and 3,407.44

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Solution

The fourth proportional to 5,676.64, 7,832.16 and 3,407.44 is: 4,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.64 : 7,832.16 = 3,407.44 : x
  2. Step 2: Convert to fraction form
    5,676.64/7,832.16 = 3,407.44/x
  3. Step 3: Cross multiply
    5,676.64x = 7,832.16 × 3,407.44
  4. Step 4: Simplify right side
    5,676.64x = 26,687,615.27
  5. Step 5: Solve for x
    x = 26,687,615.27/5,676.64
  6. Step 6: Final answer
    x = 4,701.30

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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.