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Finding the Fourth Proportional to 6,101.82, 8,399.52 and 4,607.37

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Solution

The fourth proportional to 6,101.82, 8,399.52 and 4,607.37 is: 6,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.82 : 8,399.52 = 4,607.37 : x
  2. Step 2: Convert to fraction form
    6,101.82/8,399.52 = 4,607.37/x
  3. Step 3: Cross multiply
    6,101.82x = 8,399.52 × 4,607.37
  4. Step 4: Simplify right side
    6,101.82x = 38,699,696.46
  5. Step 5: Solve for x
    x = 38,699,696.46/6,101.82
  6. Step 6: Final answer
    x = 6,342.32

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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.