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Finding the Fourth Proportional to 6,602.38, 9,110.91 and 3,617.62

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Solution

The fourth proportional to 6,602.38, 9,110.91 and 3,617.62 is: 4,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.38 : 9,110.91 = 3,617.62 : x
  2. Step 2: Convert to fraction form
    6,602.38/9,110.91 = 3,617.62/x
  3. Step 3: Cross multiply
    6,602.38x = 9,110.91 × 3,617.62
  4. Step 4: Simplify right side
    6,602.38x = 32,959,810.23
  5. Step 5: Solve for x
    x = 32,959,810.23/6,602.38
  6. Step 6: Final answer
    x = 4,992.11

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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.