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Finding the Fourth Proportional to 4,153.35, 6,230.03 and 3,421.11

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Solution

The fourth proportional to 4,153.35, 6,230.03 and 3,421.11 is: 5,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.35 : 6,230.03 = 3,421.11 : x
  2. Step 2: Convert to fraction form
    4,153.35/6,230.03 = 3,421.11/x
  3. Step 3: Cross multiply
    4,153.35x = 6,230.03 × 3,421.11
  4. Step 4: Simplify right side
    4,153.35x = 21,313,600.83
  5. Step 5: Solve for x
    x = 21,313,600.83/4,153.35
  6. Step 6: Final answer
    x = 5,131.67

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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.