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Finding the Fourth Proportional to 4,113.99, 5,674.46 and 3,488.67

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Solution

The fourth proportional to 4,113.99, 5,674.46 and 3,488.67 is: 4,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.99 : 5,674.46 = 3,488.67 : x
  2. Step 2: Convert to fraction form
    4,113.99/5,674.46 = 3,488.67/x
  3. Step 3: Cross multiply
    4,113.99x = 5,674.46 × 3,488.67
  4. Step 4: Simplify right side
    4,113.99x = 19,796,300.92
  5. Step 5: Solve for x
    x = 19,796,300.92/4,113.99
  6. Step 6: Final answer
    x = 4,811.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.