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Finding the Fourth Proportional to 5,495.69, 7,581.95 and 4,063.49

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Solution

The fourth proportional to 5,495.69, 7,581.95 and 4,063.49 is: 5,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.69 : 7,581.95 = 4,063.49 : x
  2. Step 2: Convert to fraction form
    5,495.69/7,581.95 = 4,063.49/x
  3. Step 3: Cross multiply
    5,495.69x = 7,581.95 × 4,063.49
  4. Step 4: Simplify right side
    5,495.69x = 30,809,207.12
  5. Step 5: Solve for x
    x = 30,809,207.12/5,495.69
  6. Step 6: Final answer
    x = 5,606.07

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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.