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Finding the Fourth Proportional to 3,663.63, 5,496.39 and 1,474.81

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Solution

The fourth proportional to 3,663.63, 5,496.39 and 1,474.81 is: 2,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.63 : 5,496.39 = 1,474.81 : x
  2. Step 2: Convert to fraction form
    3,663.63/5,496.39 = 1,474.81/x
  3. Step 3: Cross multiply
    3,663.63x = 5,496.39 × 1,474.81
  4. Step 4: Simplify right side
    3,663.63x = 8,106,117.19
  5. Step 5: Solve for x
    x = 8,106,117.19/3,663.63
  6. Step 6: Final answer
    x = 2,212.59

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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.