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Finding the Fourth Proportional to 5,753.14, 8,638.35 and 3,290.74

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Solution

The fourth proportional to 5,753.14, 8,638.35 and 3,290.74 is: 4,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.14 : 8,638.35 = 3,290.74 : x
  2. Step 2: Convert to fraction form
    5,753.14/8,638.35 = 3,290.74/x
  3. Step 3: Cross multiply
    5,753.14x = 8,638.35 × 3,290.74
  4. Step 4: Simplify right side
    5,753.14x = 28,426,563.88
  5. Step 5: Solve for x
    x = 28,426,563.88/5,753.14
  6. Step 6: Final answer
    x = 4,941.05

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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.