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Finding the Fourth Proportional to 4,493.78, 6,202.16 and 3,429.53

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Solution

The fourth proportional to 4,493.78, 6,202.16 and 3,429.53 is: 4,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.78 : 6,202.16 = 3,429.53 : x
  2. Step 2: Convert to fraction form
    4,493.78/6,202.16 = 3,429.53/x
  3. Step 3: Cross multiply
    4,493.78x = 6,202.16 × 3,429.53
  4. Step 4: Simplify right side
    4,493.78x = 21,270,445.63
  5. Step 5: Solve for x
    x = 21,270,445.63/4,493.78
  6. Step 6: Final answer
    x = 4,733.31

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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.