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Finding the Fourth Proportional to 6,101.47, 8,419.03 and 3,583.38

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Solution

The fourth proportional to 6,101.47, 8,419.03 and 3,583.38 is: 4,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.47 : 8,419.03 = 3,583.38 : x
  2. Step 2: Convert to fraction form
    6,101.47/8,419.03 = 3,583.38/x
  3. Step 3: Cross multiply
    6,101.47x = 8,419.03 × 3,583.38
  4. Step 4: Simplify right side
    6,101.47x = 30,168,583.72
  5. Step 5: Solve for x
    x = 30,168,583.72/6,101.47
  6. Step 6: Final answer
    x = 4,944.48

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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.