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Finding the Fourth Proportional to 4,640.00, 6,403.43 and 2,650.77

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Solution

The fourth proportional to 4,640.00, 6,403.43 and 2,650.77 is: 3,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.00 : 6,403.43 = 2,650.77 : x
  2. Step 2: Convert to fraction form
    4,640.00/6,403.43 = 2,650.77/x
  3. Step 3: Cross multiply
    4,640.00x = 6,403.43 × 2,650.77
  4. Step 4: Simplify right side
    4,640.00x = 16,974,026.77
  5. Step 5: Solve for x
    x = 16,974,026.77/4,640.00
  6. Step 6: Final answer
    x = 3,658.20

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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.