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Finding the Fourth Proportional to 4,936.72, 6,806.04 and 4,783.84

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Solution

The fourth proportional to 4,936.72, 6,806.04 and 4,783.84 is: 6,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.72 : 6,806.04 = 4,783.84 : x
  2. Step 2: Convert to fraction form
    4,936.72/6,806.04 = 4,783.84/x
  3. Step 3: Cross multiply
    4,936.72x = 6,806.04 × 4,783.84
  4. Step 4: Simplify right side
    4,936.72x = 32,559,006.39
  5. Step 5: Solve for x
    x = 32,559,006.39/4,936.72
  6. Step 6: Final answer
    x = 6,595.27

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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.