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Finding the Fourth Proportional to 4,829.32, 6,662.82 and 2,839.24

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Solution

The fourth proportional to 4,829.32, 6,662.82 and 2,839.24 is: 3,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.32 : 6,662.82 = 2,839.24 : x
  2. Step 2: Convert to fraction form
    4,829.32/6,662.82 = 2,839.24/x
  3. Step 3: Cross multiply
    4,829.32x = 6,662.82 × 2,839.24
  4. Step 4: Simplify right side
    4,829.32x = 18,917,345.06
  5. Step 5: Solve for x
    x = 18,917,345.06/4,829.32
  6. Step 6: Final answer
    x = 3,917.19

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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.