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Finding the Fourth Proportional to 4,776.98, 7,163.60 and 2,004.93

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Solution

The fourth proportional to 4,776.98, 7,163.60 and 2,004.93 is: 3,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.98 : 7,163.60 = 2,004.93 : x
  2. Step 2: Convert to fraction form
    4,776.98/7,163.60 = 2,004.93/x
  3. Step 3: Cross multiply
    4,776.98x = 7,163.60 × 2,004.93
  4. Step 4: Simplify right side
    4,776.98x = 14,362,506.52
  5. Step 5: Solve for x
    x = 14,362,506.52/4,776.98
  6. Step 6: Final answer
    x = 3,006.61

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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.