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Finding the Fourth Proportional to 3,100.20, 4,661.10 and 3,035.40

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Solution

The fourth proportional to 3,100.20, 4,661.10 and 3,035.40 is: 4,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.20 : 4,661.10 = 3,035.40 : x
  2. Step 2: Convert to fraction form
    3,100.20/4,661.10 = 3,035.40/x
  3. Step 3: Cross multiply
    3,100.20x = 4,661.10 × 3,035.40
  4. Step 4: Simplify right side
    3,100.20x = 14,148,302.94
  5. Step 5: Solve for x
    x = 14,148,302.94/3,100.20
  6. Step 6: Final answer
    x = 4,563.67

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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.