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Finding the Fourth Proportional to 5,905.90, 8,149.89 and 3,386.26

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Solution

The fourth proportional to 5,905.90, 8,149.89 and 3,386.26 is: 4,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.90 : 8,149.89 = 3,386.26 : x
  2. Step 2: Convert to fraction form
    5,905.90/8,149.89 = 3,386.26/x
  3. Step 3: Cross multiply
    5,905.90x = 8,149.89 × 3,386.26
  4. Step 4: Simplify right side
    5,905.90x = 27,597,646.51
  5. Step 5: Solve for x
    x = 27,597,646.51/5,905.90
  6. Step 6: Final answer
    x = 4,672.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.