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Finding the Fourth Proportional to 3,493.07, 4,820.53 and 1,921.26

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Solution

The fourth proportional to 3,493.07, 4,820.53 and 1,921.26 is: 2,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.07 : 4,820.53 = 1,921.26 : x
  2. Step 2: Convert to fraction form
    3,493.07/4,820.53 = 1,921.26/x
  3. Step 3: Cross multiply
    3,493.07x = 4,820.53 × 1,921.26
  4. Step 4: Simplify right side
    3,493.07x = 9,261,491.47
  5. Step 5: Solve for x
    x = 9,261,491.47/3,493.07
  6. Step 6: Final answer
    x = 2,651.39

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Why These Related Problems?

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