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Finding the Fourth Proportional to 3,406.38, 4,700.73 and 1,893.84

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Solution

The fourth proportional to 3,406.38, 4,700.73 and 1,893.84 is: 2,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.38 : 4,700.73 = 1,893.84 : x
  2. Step 2: Convert to fraction form
    3,406.38/4,700.73 = 1,893.84/x
  3. Step 3: Cross multiply
    3,406.38x = 4,700.73 × 1,893.84
  4. Step 4: Simplify right side
    3,406.38x = 8,902,430.50
  5. Step 5: Solve for x
    x = 8,902,430.50/3,406.38
  6. Step 6: Final answer
    x = 2,613.46

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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.