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Finding the Fourth Proportional to 4,716.21, 6,502.37 and 2,947.17

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Solution

The fourth proportional to 4,716.21, 6,502.37 and 2,947.17 is: 4,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.21 : 6,502.37 = 2,947.17 : x
  2. Step 2: Convert to fraction form
    4,716.21/6,502.37 = 2,947.17/x
  3. Step 3: Cross multiply
    4,716.21x = 6,502.37 × 2,947.17
  4. Step 4: Simplify right side
    4,716.21x = 19,163,575.06
  5. Step 5: Solve for x
    x = 19,163,575.06/4,716.21
  6. Step 6: Final answer
    x = 4,063.34

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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.