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Finding the Fourth Proportional to 3,733, 5,150.46 and 2,160.52

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Solution

The fourth proportional to 3,733, 5,150.46 and 2,160.52 is: 2,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733 : 5,150.46 = 2,160.52 : x
  2. Step 2: Convert to fraction form
    3,733/5,150.46 = 2,160.52/x
  3. Step 3: Cross multiply
    3,733x = 5,150.46 × 2,160.52
  4. Step 4: Simplify right side
    3,733x = 11,127,671.84
  5. Step 5: Solve for x
    x = 11,127,671.84/3,733
  6. Step 6: Final answer
    x = 2,980.89

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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.