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Finding the Fourth Proportional to 3,386.97, 5,077.73 and 3,113.60

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Solution

The fourth proportional to 3,386.97, 5,077.73 and 3,113.60 is: 4,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.97 : 5,077.73 = 3,113.60 : x
  2. Step 2: Convert to fraction form
    3,386.97/5,077.73 = 3,113.60/x
  3. Step 3: Cross multiply
    3,386.97x = 5,077.73 × 3,113.60
  4. Step 4: Simplify right side
    3,386.97x = 15,809,979.17
  5. Step 5: Solve for x
    x = 15,809,979.17/3,386.97
  6. Step 6: Final answer
    x = 4,667.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.