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Finding the Fourth Proportional to 4,783.67, 6,603.71 and 3,192.96

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Solution

The fourth proportional to 4,783.67, 6,603.71 and 3,192.96 is: 4,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.67 : 6,603.71 = 3,192.96 : x
  2. Step 2: Convert to fraction form
    4,783.67/6,603.71 = 3,192.96/x
  3. Step 3: Cross multiply
    4,783.67x = 6,603.71 × 3,192.96
  4. Step 4: Simplify right side
    4,783.67x = 21,085,381.88
  5. Step 5: Solve for x
    x = 21,085,381.88/4,783.67
  6. Step 6: Final answer
    x = 4,407.78

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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.