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Finding the Fourth Proportional to 3,780.05, 5,673.68 and 2,322.05

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Solution

The fourth proportional to 3,780.05, 5,673.68 and 2,322.05 is: 3,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.05 : 5,673.68 = 2,322.05 : x
  2. Step 2: Convert to fraction form
    3,780.05/5,673.68 = 2,322.05/x
  3. Step 3: Cross multiply
    3,780.05x = 5,673.68 × 2,322.05
  4. Step 4: Simplify right side
    3,780.05x = 13,174,528.67
  5. Step 5: Solve for x
    x = 13,174,528.67/3,780.05
  6. Step 6: Final answer
    x = 3,485.28

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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.