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Finding the Fourth Proportional to 3,784.79, 5,677.22 and 1,319.61

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Solution

The fourth proportional to 3,784.79, 5,677.22 and 1,319.61 is: 1,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.79 : 5,677.22 = 1,319.61 : x
  2. Step 2: Convert to fraction form
    3,784.79/5,677.22 = 1,319.61/x
  3. Step 3: Cross multiply
    3,784.79x = 5,677.22 × 1,319.61
  4. Step 4: Simplify right side
    3,784.79x = 7,491,687.90
  5. Step 5: Solve for x
    x = 7,491,687.90/3,784.79
  6. Step 6: Final answer
    x = 1,979.42

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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.