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Finding the Fourth Proportional to 5,735.35, 8,592.05 and 3,877.35

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Solution

The fourth proportional to 5,735.35, 8,592.05 and 3,877.35 is: 5,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.35 : 8,592.05 = 3,877.35 : x
  2. Step 2: Convert to fraction form
    5,735.35/8,592.05 = 3,877.35/x
  3. Step 3: Cross multiply
    5,735.35x = 8,592.05 × 3,877.35
  4. Step 4: Simplify right side
    5,735.35x = 33,314,385.07
  5. Step 5: Solve for x
    x = 33,314,385.07/5,735.35
  6. Step 6: Final answer
    x = 5,808.61

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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.