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Finding the Fourth Proportional to 3,735.89, 5,155.35 and 2,164.49

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Solution

The fourth proportional to 3,735.89, 5,155.35 and 2,164.49 is: 2,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.89 : 5,155.35 = 2,164.49 : x
  2. Step 2: Convert to fraction form
    3,735.89/5,155.35 = 2,164.49/x
  3. Step 3: Cross multiply
    3,735.89x = 5,155.35 × 2,164.49
  4. Step 4: Simplify right side
    3,735.89x = 11,158,703.52
  5. Step 5: Solve for x
    x = 11,158,703.52/3,735.89
  6. Step 6: Final answer
    x = 2,986.89

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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.