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Finding the Fourth Proportional to 5,243.22, 7,869.51 and 4,687.02

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Solution

The fourth proportional to 5,243.22, 7,869.51 and 4,687.02 is: 7,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.22 : 7,869.51 = 4,687.02 : x
  2. Step 2: Convert to fraction form
    5,243.22/7,869.51 = 4,687.02/x
  3. Step 3: Cross multiply
    5,243.22x = 7,869.51 × 4,687.02
  4. Step 4: Simplify right side
    5,243.22x = 36,884,550.76
  5. Step 5: Solve for x
    x = 36,884,550.76/5,243.22
  6. Step 6: Final answer
    x = 7,034.71

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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.