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Finding the Fourth Proportional to 4,350, 6,520.68 and 2,037.36

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Solution

The fourth proportional to 4,350, 6,520.68 and 2,037.36 is: 3,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350 : 6,520.68 = 2,037.36 : x
  2. Step 2: Convert to fraction form
    4,350/6,520.68 = 2,037.36/x
  3. Step 3: Cross multiply
    4,350x = 6,520.68 × 2,037.36
  4. Step 4: Simplify right side
    4,350x = 13,284,972.60
  5. Step 5: Solve for x
    x = 13,284,972.60/4,350
  6. Step 6: Final answer
    x = 3,054.02

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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.