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Finding the Fourth Proportional to 3,640.83, 5,461.65 and 1,666.41

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Solution

The fourth proportional to 3,640.83, 5,461.65 and 1,666.41 is: 2,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.83 : 5,461.65 = 1,666.41 : x
  2. Step 2: Convert to fraction form
    3,640.83/5,461.65 = 1,666.41/x
  3. Step 3: Cross multiply
    3,640.83x = 5,461.65 × 1,666.41
  4. Step 4: Simplify right side
    3,640.83x = 9,101,348.18
  5. Step 5: Solve for x
    x = 9,101,348.18/3,640.83
  6. Step 6: Final answer
    x = 2,499.80

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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.