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Finding the Fourth Proportional to 5,641.34, 8,462.32 and 1,745.44

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Solution

The fourth proportional to 5,641.34, 8,462.32 and 1,745.44 is: 2,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.34 : 8,462.32 = 1,745.44 : x
  2. Step 2: Convert to fraction form
    5,641.34/8,462.32 = 1,745.44/x
  3. Step 3: Cross multiply
    5,641.34x = 8,462.32 × 1,745.44
  4. Step 4: Simplify right side
    5,641.34x = 14,770,446.30
  5. Step 5: Solve for x
    x = 14,770,446.30/5,641.34
  6. Step 6: Final answer
    x = 2,618.25

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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.