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Finding the Fourth Proportional to 3,112.20, 4,679.10 and 3,047.40

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Solution

The fourth proportional to 3,112.20, 4,679.10 and 3,047.40 is: 4,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.20 : 4,679.10 = 3,047.40 : x
  2. Step 2: Convert to fraction form
    3,112.20/4,679.10 = 3,047.40/x
  3. Step 3: Cross multiply
    3,112.20x = 4,679.10 × 3,047.40
  4. Step 4: Simplify right side
    3,112.20x = 14,259,089.34
  5. Step 5: Solve for x
    x = 14,259,089.34/3,112.20
  6. Step 6: Final answer
    x = 4,581.68

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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.