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Finding the Fourth Proportional to 5,739.94, 7,920.72 and 3,381.64

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Solution

The fourth proportional to 5,739.94, 7,920.72 and 3,381.64 is: 4,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.94 : 7,920.72 = 3,381.64 : x
  2. Step 2: Convert to fraction form
    5,739.94/7,920.72 = 3,381.64/x
  3. Step 3: Cross multiply
    5,739.94x = 7,920.72 × 3,381.64
  4. Step 4: Simplify right side
    5,739.94x = 26,785,023.58
  5. Step 5: Solve for x
    x = 26,785,023.58/5,739.94
  6. Step 6: Final answer
    x = 4,666.43

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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.