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Finding the Fourth Proportional to 3,113.54, 4,667.88 and 2,003.06

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Solution

The fourth proportional to 3,113.54, 4,667.88 and 2,003.06 is: 3,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.54 : 4,667.88 = 2,003.06 : x
  2. Step 2: Convert to fraction form
    3,113.54/4,667.88 = 2,003.06/x
  3. Step 3: Cross multiply
    3,113.54x = 4,667.88 × 2,003.06
  4. Step 4: Simplify right side
    3,113.54x = 9,350,043.71
  5. Step 5: Solve for x
    x = 9,350,043.71/3,113.54
  6. Step 6: Final answer
    x = 3,003.03

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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.