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Finding the Fourth Proportional to 6,415.50, 8,853.60 and 3,621

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Solution

The fourth proportional to 6,415.50, 8,853.60 and 3,621 is: 4,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.50 : 8,853.60 = 3,621 : x
  2. Step 2: Convert to fraction form
    6,415.50/8,853.60 = 3,621/x
  3. Step 3: Cross multiply
    6,415.50x = 8,853.60 × 3,621
  4. Step 4: Simplify right side
    6,415.50x = 32,058,885.60
  5. Step 5: Solve for x
    x = 32,058,885.60/6,415.50
  6. Step 6: Final answer
    x = 4,997.10

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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.