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Finding the Fourth Proportional to 3,869.82, 5,804.76 and 2,720.70

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Solution

The fourth proportional to 3,869.82, 5,804.76 and 2,720.70 is: 4,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.82 : 5,804.76 = 2,720.70 : x
  2. Step 2: Convert to fraction form
    3,869.82/5,804.76 = 2,720.70/x
  3. Step 3: Cross multiply
    3,869.82x = 5,804.76 × 2,720.70
  4. Step 4: Simplify right side
    3,869.82x = 15,793,010.53
  5. Step 5: Solve for x
    x = 15,793,010.53/3,869.82
  6. Step 6: Final answer
    x = 4,081.07

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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.