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Finding the Fourth Proportional to 5,916, 8,877.42 and 3,283.86

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Solution

The fourth proportional to 5,916, 8,877.42 and 3,283.86 is: 4,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916 : 8,877.42 = 3,283.86 : x
  2. Step 2: Convert to fraction form
    5,916/8,877.42 = 3,283.86/x
  3. Step 3: Cross multiply
    5,916x = 8,877.42 × 3,283.86
  4. Step 4: Simplify right side
    5,916x = 29,152,204.44
  5. Step 5: Solve for x
    x = 29,152,204.44/5,916
  6. Step 6: Final answer
    x = 4,927.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.