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Finding the Fourth Proportional to 4,716.46, 6,508.47 and 2,672.47

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Solution

The fourth proportional to 4,716.46, 6,508.47 and 2,672.47 is: 3,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.46 : 6,508.47 = 2,672.47 : x
  2. Step 2: Convert to fraction form
    4,716.46/6,508.47 = 2,672.47/x
  3. Step 3: Cross multiply
    4,716.46x = 6,508.47 × 2,672.47
  4. Step 4: Simplify right side
    4,716.46x = 17,393,690.82
  5. Step 5: Solve for x
    x = 17,393,690.82/4,716.46
  6. Step 6: Final answer
    x = 3,687.87

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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.