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Finding the Fourth Proportional to 4,073.60, 6,105.60 and 2,124.80

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Solution

The fourth proportional to 4,073.60, 6,105.60 and 2,124.80 is: 3,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.60 : 6,105.60 = 2,124.80 : x
  2. Step 2: Convert to fraction form
    4,073.60/6,105.60 = 2,124.80/x
  3. Step 3: Cross multiply
    4,073.60x = 6,105.60 × 2,124.80
  4. Step 4: Simplify right side
    4,073.60x = 12,973,178.88
  5. Step 5: Solve for x
    x = 12,973,178.88/4,073.60
  6. Step 6: Final answer
    x = 3,184.70

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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.