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Finding the Fourth Proportional to 5,739.00, 7,924.49 and 4,676.92

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Solution

The fourth proportional to 5,739.00, 7,924.49 and 4,676.92 is: 6,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.00 : 7,924.49 = 4,676.92 : x
  2. Step 2: Convert to fraction form
    5,739.00/7,924.49 = 4,676.92/x
  3. Step 3: Cross multiply
    5,739.00x = 7,924.49 × 4,676.92
  4. Step 4: Simplify right side
    5,739.00x = 37,062,180.11
  5. Step 5: Solve for x
    x = 37,062,180.11/5,739.00
  6. Step 6: Final answer
    x = 6,457.96

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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.