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Finding the Fourth Proportional to 4,941.99, 7,409.13 and 2,475.54

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Solution

The fourth proportional to 4,941.99, 7,409.13 and 2,475.54 is: 3,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.99 : 7,409.13 = 2,475.54 : x
  2. Step 2: Convert to fraction form
    4,941.99/7,409.13 = 2,475.54/x
  3. Step 3: Cross multiply
    4,941.99x = 7,409.13 × 2,475.54
  4. Step 4: Simplify right side
    4,941.99x = 18,341,597.68
  5. Step 5: Solve for x
    x = 18,341,597.68/4,941.99
  6. Step 6: Final answer
    x = 3,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.