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Finding the Fourth Proportional to 4,652.38, 6,420.42 and 2,528.05

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Solution

The fourth proportional to 4,652.38, 6,420.42 and 2,528.05 is: 3,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.38 : 6,420.42 = 2,528.05 : x
  2. Step 2: Convert to fraction form
    4,652.38/6,420.42 = 2,528.05/x
  3. Step 3: Cross multiply
    4,652.38x = 6,420.42 × 2,528.05
  4. Step 4: Simplify right side
    4,652.38x = 16,231,142.78
  5. Step 5: Solve for x
    x = 16,231,142.78/4,652.38
  6. Step 6: Final answer
    x = 3,488.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.