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Finding the Fourth Proportional to 3,295.14, 4,931.10 and 2,775.66

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Solution

The fourth proportional to 3,295.14, 4,931.10 and 2,775.66 is: 4,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.14 : 4,931.10 = 2,775.66 : x
  2. Step 2: Convert to fraction form
    3,295.14/4,931.10 = 2,775.66/x
  3. Step 3: Cross multiply
    3,295.14x = 4,931.10 × 2,775.66
  4. Step 4: Simplify right side
    3,295.14x = 13,687,057.03
  5. Step 5: Solve for x
    x = 13,687,057.03/3,295.14
  6. Step 6: Final answer
    x = 4,153.71

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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.