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Finding the Fourth Proportional to 3,758.83, 5,633.44 and 1,784.45

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Solution

The fourth proportional to 3,758.83, 5,633.44 and 1,784.45 is: 2,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.83 : 5,633.44 = 1,784.45 : x
  2. Step 2: Convert to fraction form
    3,758.83/5,633.44 = 1,784.45/x
  3. Step 3: Cross multiply
    3,758.83x = 5,633.44 × 1,784.45
  4. Step 4: Simplify right side
    3,758.83x = 10,052,592.01
  5. Step 5: Solve for x
    x = 10,052,592.01/3,758.83
  6. Step 6: Final answer
    x = 2,674.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.