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Finding the Fourth Proportional to 3,461.49, 4,781.37 and 2,800.83

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Solution

The fourth proportional to 3,461.49, 4,781.37 and 2,800.83 is: 3,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.49 : 4,781.37 = 2,800.83 : x
  2. Step 2: Convert to fraction form
    3,461.49/4,781.37 = 2,800.83/x
  3. Step 3: Cross multiply
    3,461.49x = 4,781.37 × 2,800.83
  4. Step 4: Simplify right side
    3,461.49x = 13,391,804.54
  5. Step 5: Solve for x
    x = 13,391,804.54/3,461.49
  6. Step 6: Final answer
    x = 3,868.80

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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.