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Finding the Fourth Proportional to 4,954.82, 6,833.71 and 4,211.24

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Solution

The fourth proportional to 4,954.82, 6,833.71 and 4,211.24 is: 5,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.82 : 6,833.71 = 4,211.24 : x
  2. Step 2: Convert to fraction form
    4,954.82/6,833.71 = 4,211.24/x
  3. Step 3: Cross multiply
    4,954.82x = 6,833.71 × 4,211.24
  4. Step 4: Simplify right side
    4,954.82x = 28,778,392.90
  5. Step 5: Solve for x
    x = 28,778,392.90/4,954.82
  6. Step 6: Final answer
    x = 5,808.16

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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.