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Finding the Fourth Proportional to 5,738.72, 7,924.10 and 4,676.64

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Solution

The fourth proportional to 5,738.72, 7,924.10 and 4,676.64 is: 6,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.72 : 7,924.10 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    5,738.72/7,924.10 = 4,676.64/x
  3. Step 3: Cross multiply
    5,738.72x = 7,924.10 × 4,676.64
  4. Step 4: Simplify right side
    5,738.72x = 37,058,109.93
  5. Step 5: Solve for x
    x = 37,058,109.93/5,738.72
  6. Step 6: Final answer
    x = 6,457.56

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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.