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Finding the Fourth Proportional to 5,496.69, 7,588.05 and 3,138.38

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Solution

The fourth proportional to 5,496.69, 7,588.05 and 3,138.38 is: 4,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.69 : 7,588.05 = 3,138.38 : x
  2. Step 2: Convert to fraction form
    5,496.69/7,588.05 = 3,138.38/x
  3. Step 3: Cross multiply
    5,496.69x = 7,588.05 × 3,138.38
  4. Step 4: Simplify right side
    5,496.69x = 23,814,146.42
  5. Step 5: Solve for x
    x = 23,814,146.42/5,496.69
  6. Step 6: Final answer
    x = 4,332.45

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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.