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Finding the Fourth Proportional to 5,647.35, 8,471.43 and 1,751.61

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Solution

The fourth proportional to 5,647.35, 8,471.43 and 1,751.61 is: 2,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.35 : 8,471.43 = 1,751.61 : x
  2. Step 2: Convert to fraction form
    5,647.35/8,471.43 = 1,751.61/x
  3. Step 3: Cross multiply
    5,647.35x = 8,471.43 × 1,751.61
  4. Step 4: Simplify right side
    5,647.35x = 14,838,641.50
  5. Step 5: Solve for x
    x = 14,838,641.50/5,647.35
  6. Step 6: Final answer
    x = 2,627.54

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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.