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Finding the Fourth Proportional to 5,581.49, 8,372.14 and 4,709.57

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Solution

The fourth proportional to 5,581.49, 8,372.14 and 4,709.57 is: 7,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.49 : 8,372.14 = 4,709.57 : x
  2. Step 2: Convert to fraction form
    5,581.49/8,372.14 = 4,709.57/x
  3. Step 3: Cross multiply
    5,581.49x = 8,372.14 × 4,709.57
  4. Step 4: Simplify right side
    5,581.49x = 39,429,188.54
  5. Step 5: Solve for x
    x = 39,429,188.54/5,581.49
  6. Step 6: Final answer
    x = 7,064.27

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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.