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Finding the Fourth Proportional to 3,261.88, 4,893.83 and 953.38

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Solution

The fourth proportional to 3,261.88, 4,893.83 and 953.38 is: 1,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.88 : 4,893.83 = 953.38 : x
  2. Step 2: Convert to fraction form
    3,261.88/4,893.83 = 953.38/x
  3. Step 3: Cross multiply
    3,261.88x = 4,893.83 × 953.38
  4. Step 4: Simplify right side
    3,261.88x = 4,665,650.41
  5. Step 5: Solve for x
    x = 4,665,650.41/3,261.88
  6. Step 6: Final answer
    x = 1,430.36

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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.