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Finding the Fourth Proportional to 5,800.69, 8,003.12 and 3,409.90

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Solution

The fourth proportional to 5,800.69, 8,003.12 and 3,409.90 is: 4,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.69 : 8,003.12 = 3,409.90 : x
  2. Step 2: Convert to fraction form
    5,800.69/8,003.12 = 3,409.90/x
  3. Step 3: Cross multiply
    5,800.69x = 8,003.12 × 3,409.90
  4. Step 4: Simplify right side
    5,800.69x = 27,289,806.63
  5. Step 5: Solve for x
    x = 27,289,806.63/5,800.69
  6. Step 6: Final answer
    x = 4,704.58

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.