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Finding the Fourth Proportional to 5,494.84, 8,225.85 and 3,408.30

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Solution

The fourth proportional to 5,494.84, 8,225.85 and 3,408.30 is: 5,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.84 : 8,225.85 = 3,408.30 : x
  2. Step 2: Convert to fraction form
    5,494.84/8,225.85 = 3,408.30/x
  3. Step 3: Cross multiply
    5,494.84x = 8,225.85 × 3,408.30
  4. Step 4: Simplify right side
    5,494.84x = 28,036,200.47
  5. Step 5: Solve for x
    x = 28,036,200.47/5,494.84
  6. Step 6: Final answer
    x = 5,102.28

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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.