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Finding the Fourth Proportional to 3,647.94, 5,471.91 and 1,594.50

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Solution

The fourth proportional to 3,647.94, 5,471.91 and 1,594.50 is: 2,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.94 : 5,471.91 = 1,594.50 : x
  2. Step 2: Convert to fraction form
    3,647.94/5,471.91 = 1,594.50/x
  3. Step 3: Cross multiply
    3,647.94x = 5,471.91 × 1,594.50
  4. Step 4: Simplify right side
    3,647.94x = 8,724,960.50
  5. Step 5: Solve for x
    x = 8,724,960.50/3,647.94
  6. Step 6: Final answer
    x = 2,391.75

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Similar ratio
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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.