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Finding the Fourth Proportional to 4,662.24, 6,999.84 and 2,713.92

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Solution

The fourth proportional to 4,662.24, 6,999.84 and 2,713.92 is: 4,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.24 : 6,999.84 = 2,713.92 : x
  2. Step 2: Convert to fraction form
    4,662.24/6,999.84 = 2,713.92/x
  3. Step 3: Cross multiply
    4,662.24x = 6,999.84 × 2,713.92
  4. Step 4: Simplify right side
    4,662.24x = 18,997,005.77
  5. Step 5: Solve for x
    x = 18,997,005.77/4,662.24
  6. Step 6: Final answer
    x = 4,074.65

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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.