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Finding the Fourth Proportional to 4,716.27, 6,508.65 and 2,828.16

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Solution

The fourth proportional to 4,716.27, 6,508.65 and 2,828.16 is: 3,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.27 : 6,508.65 = 2,828.16 : x
  2. Step 2: Convert to fraction form
    4,716.27/6,508.65 = 2,828.16/x
  3. Step 3: Cross multiply
    4,716.27x = 6,508.65 × 2,828.16
  4. Step 4: Simplify right side
    4,716.27x = 18,407,503.58
  5. Step 5: Solve for x
    x = 18,407,503.58/4,716.27
  6. Step 6: Final answer
    x = 3,902.98

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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.