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Finding the Fourth Proportional to 3,784.96, 5,677.56 and 1,444.68

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Solution

The fourth proportional to 3,784.96, 5,677.56 and 1,444.68 is: 2,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.96 : 5,677.56 = 1,444.68 : x
  2. Step 2: Convert to fraction form
    3,784.96/5,677.56 = 1,444.68/x
  3. Step 3: Cross multiply
    3,784.96x = 5,677.56 × 1,444.68
  4. Step 4: Simplify right side
    3,784.96x = 8,202,257.38
  5. Step 5: Solve for x
    x = 8,202,257.38/3,784.96
  6. Step 6: Final answer
    x = 2,167.07

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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.