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Finding the Fourth Proportional to 5,945.90, 8,919.29 and 1,785.57

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Solution

The fourth proportional to 5,945.90, 8,919.29 and 1,785.57 is: 2,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.90 : 8,919.29 = 1,785.57 : x
  2. Step 2: Convert to fraction form
    5,945.90/8,919.29 = 1,785.57/x
  3. Step 3: Cross multiply
    5,945.90x = 8,919.29 × 1,785.57
  4. Step 4: Simplify right side
    5,945.90x = 15,926,007.72
  5. Step 5: Solve for x
    x = 15,926,007.72/5,945.90
  6. Step 6: Final answer
    x = 2,678.49

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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.