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Finding the Fourth Proportional to 3,111.68, 4,671.20 and 3,097.60

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Solution

The fourth proportional to 3,111.68, 4,671.20 and 3,097.60 is: 4,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.68 : 4,671.20 = 3,097.60 : x
  2. Step 2: Convert to fraction form
    3,111.68/4,671.20 = 3,097.60/x
  3. Step 3: Cross multiply
    3,111.68x = 4,671.20 × 3,097.60
  4. Step 4: Simplify right side
    3,111.68x = 14,469,509.12
  5. Step 5: Solve for x
    x = 14,469,509.12/3,111.68
  6. Step 6: Final answer
    x = 4,650.06

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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.