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Finding the Fourth Proportional to 3,111.40, 4,667.10 and 3,089.80

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Solution

The fourth proportional to 3,111.40, 4,667.10 and 3,089.80 is: 4,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.40 : 4,667.10 = 3,089.80 : x
  2. Step 2: Convert to fraction form
    3,111.40/4,667.10 = 3,089.80/x
  3. Step 3: Cross multiply
    3,111.40x = 4,667.10 × 3,089.80
  4. Step 4: Simplify right side
    3,111.40x = 14,420,405.58
  5. Step 5: Solve for x
    x = 14,420,405.58/3,111.40
  6. Step 6: Final answer
    x = 4,634.70

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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.