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Finding the Fourth Proportional to 3,783.98, 5,678.01 and 1,594.23

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Solution

The fourth proportional to 3,783.98, 5,678.01 and 1,594.23 is: 2,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.98 : 5,678.01 = 1,594.23 : x
  2. Step 2: Convert to fraction form
    3,783.98/5,678.01 = 1,594.23/x
  3. Step 3: Cross multiply
    3,783.98x = 5,678.01 × 1,594.23
  4. Step 4: Simplify right side
    3,783.98x = 9,052,053.88
  5. Step 5: Solve for x
    x = 9,052,053.88/3,783.98
  6. Step 6: Final answer
    x = 2,392.21

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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.