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Finding the Fourth Proportional to 4,838.84, 6,677.48 and 2,822.64

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Solution

The fourth proportional to 4,838.84, 6,677.48 and 2,822.64 is: 3,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.84 : 6,677.48 = 2,822.64 : x
  2. Step 2: Convert to fraction form
    4,838.84/6,677.48 = 2,822.64/x
  3. Step 3: Cross multiply
    4,838.84x = 6,677.48 × 2,822.64
  4. Step 4: Simplify right side
    4,838.84x = 18,848,122.15
  5. Step 5: Solve for x
    x = 18,848,122.15/4,838.84
  6. Step 6: Final answer
    x = 3,895.17

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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.