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Finding the Fourth Proportional to 5,369.09, 7,409.68 and 3,011.38

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Solution

The fourth proportional to 5,369.09, 7,409.68 and 3,011.38 is: 4,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.09 : 7,409.68 = 3,011.38 : x
  2. Step 2: Convert to fraction form
    5,369.09/7,409.68 = 3,011.38/x
  3. Step 3: Cross multiply
    5,369.09x = 7,409.68 × 3,011.38
  4. Step 4: Simplify right side
    5,369.09x = 22,313,336.11
  5. Step 5: Solve for x
    x = 22,313,336.11/5,369.09
  6. Step 6: Final answer
    x = 4,155.89

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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.