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Finding the Fourth Proportional to 4,716.99, 6,509.43 and 2,592.66

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Solution

The fourth proportional to 4,716.99, 6,509.43 and 2,592.66 is: 3,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.99 : 6,509.43 = 2,592.66 : x
  2. Step 2: Convert to fraction form
    4,716.99/6,509.43 = 2,592.66/x
  3. Step 3: Cross multiply
    4,716.99x = 6,509.43 × 2,592.66
  4. Step 4: Simplify right side
    4,716.99x = 16,876,751.82
  5. Step 5: Solve for x
    x = 16,876,751.82/4,716.99
  6. Step 6: Final answer
    x = 3,577.86

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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.