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Finding the Fourth Proportional to 5,800.68, 8,006.04 and 3,282.76

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Solution

The fourth proportional to 5,800.68, 8,006.04 and 3,282.76 is: 4,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.68 : 8,006.04 = 3,282.76 : x
  2. Step 2: Convert to fraction form
    5,800.68/8,006.04 = 3,282.76/x
  3. Step 3: Cross multiply
    5,800.68x = 8,006.04 × 3,282.76
  4. Step 4: Simplify right side
    5,800.68x = 26,281,907.87
  5. Step 5: Solve for x
    x = 26,281,907.87/5,800.68
  6. Step 6: Final answer
    x = 4,530.83

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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.