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Finding the Fourth Proportional to 4,969.68, 7,452.48 and 1,849.88

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Solution

The fourth proportional to 4,969.68, 7,452.48 and 1,849.88 is: 2,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.68 : 7,452.48 = 1,849.88 : x
  2. Step 2: Convert to fraction form
    4,969.68/7,452.48 = 1,849.88/x
  3. Step 3: Cross multiply
    4,969.68x = 7,452.48 × 1,849.88
  4. Step 4: Simplify right side
    4,969.68x = 13,786,193.70
  5. Step 5: Solve for x
    x = 13,786,193.70/4,969.68
  6. Step 6: Final answer
    x = 2,774.06

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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.