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Finding the Fourth Proportional to 5,580.76, 8,369.52 and 2,249

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Solution

The fourth proportional to 5,580.76, 8,369.52 and 2,249 is: 3,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.76 : 8,369.52 = 2,249 : x
  2. Step 2: Convert to fraction form
    5,580.76/8,369.52 = 2,249/x
  3. Step 3: Cross multiply
    5,580.76x = 8,369.52 × 2,249
  4. Step 4: Simplify right side
    5,580.76x = 18,823,050.48
  5. Step 5: Solve for x
    x = 18,823,050.48/5,580.76
  6. Step 6: Final answer
    x = 3,372.85

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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.