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Finding the Fourth Proportional to 3,538.72, 4,883.85 and 2,283.42

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Solution

The fourth proportional to 3,538.72, 4,883.85 and 2,283.42 is: 3,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.72 : 4,883.85 = 2,283.42 : x
  2. Step 2: Convert to fraction form
    3,538.72/4,883.85 = 2,283.42/x
  3. Step 3: Cross multiply
    3,538.72x = 4,883.85 × 2,283.42
  4. Step 4: Simplify right side
    3,538.72x = 11,151,869.35
  5. Step 5: Solve for x
    x = 11,151,869.35/3,538.72
  6. Step 6: Final answer
    x = 3,151.39

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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.