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Finding the Fourth Proportional to 3,408.57, 5,112.84 and 909.76

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Solution

The fourth proportional to 3,408.57, 5,112.84 and 909.76 is: 1,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.57 : 5,112.84 = 909.76 : x
  2. Step 2: Convert to fraction form
    3,408.57/5,112.84 = 909.76/x
  3. Step 3: Cross multiply
    3,408.57x = 5,112.84 × 909.76
  4. Step 4: Simplify right side
    3,408.57x = 4,651,457.32
  5. Step 5: Solve for x
    x = 4,651,457.32/3,408.57
  6. Step 6: Final answer
    x = 1,364.64

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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.