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Finding the Fourth Proportional to 5,302.62, 7,309.26 and 4,039.68

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Solution

The fourth proportional to 5,302.62, 7,309.26 and 4,039.68 is: 5,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.62 : 7,309.26 = 4,039.68 : x
  2. Step 2: Convert to fraction form
    5,302.62/7,309.26 = 4,039.68/x
  3. Step 3: Cross multiply
    5,302.62x = 7,309.26 × 4,039.68
  4. Step 4: Simplify right side
    5,302.62x = 29,527,071.44
  5. Step 5: Solve for x
    x = 29,527,071.44/5,302.62
  6. Step 6: Final answer
    x = 5,568.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.