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Finding the Fourth Proportional to 4,652.71, 6,965.21 and 3,087.30

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Solution

The fourth proportional to 4,652.71, 6,965.21 and 3,087.30 is: 4,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.71 : 6,965.21 = 3,087.30 : x
  2. Step 2: Convert to fraction form
    4,652.71/6,965.21 = 3,087.30/x
  3. Step 3: Cross multiply
    4,652.71x = 6,965.21 × 3,087.30
  4. Step 4: Simplify right side
    4,652.71x = 21,503,692.83
  5. Step 5: Solve for x
    x = 21,503,692.83/4,652.71
  6. Step 6: Final answer
    x = 4,621.76

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Why These Related Problems?

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