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Finding the Fourth Proportional to 5,772.94, 7,967.50 and 3,534.44

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Solution

The fourth proportional to 5,772.94, 7,967.50 and 3,534.44 is: 4,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.94 : 7,967.50 = 3,534.44 : x
  2. Step 2: Convert to fraction form
    5,772.94/7,967.50 = 3,534.44/x
  3. Step 3: Cross multiply
    5,772.94x = 7,967.50 × 3,534.44
  4. Step 4: Simplify right side
    5,772.94x = 28,160,650.70
  5. Step 5: Solve for x
    x = 28,160,650.70/5,772.94
  6. Step 6: Final answer
    x = 4,878.04

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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.