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Finding the Fourth Proportional to 5,794.74, 8,692.82 and 2,098.71

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Solution

The fourth proportional to 5,794.74, 8,692.82 and 2,098.71 is: 3,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.74 : 8,692.82 = 2,098.71 : x
  2. Step 2: Convert to fraction form
    5,794.74/8,692.82 = 2,098.71/x
  3. Step 3: Cross multiply
    5,794.74x = 8,692.82 × 2,098.71
  4. Step 4: Simplify right side
    5,794.74x = 18,243,705.64
  5. Step 5: Solve for x
    x = 18,243,705.64/5,794.74
  6. Step 6: Final answer
    x = 3,148.32

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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.