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Finding the Fourth Proportional to 4,153.88, 6,233.76 and 2,306.46

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Solution

The fourth proportional to 4,153.88, 6,233.76 and 2,306.46 is: 3,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.88 : 6,233.76 = 2,306.46 : x
  2. Step 2: Convert to fraction form
    4,153.88/6,233.76 = 2,306.46/x
  3. Step 3: Cross multiply
    4,153.88x = 6,233.76 × 2,306.46
  4. Step 4: Simplify right side
    4,153.88x = 14,377,918.09
  5. Step 5: Solve for x
    x = 14,377,918.09/4,153.88
  6. Step 6: Final answer
    x = 3,461.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.