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Finding the Fourth Proportional to 4,732.06, 6,528 and 3,676.90

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Solution

The fourth proportional to 4,732.06, 6,528 and 3,676.90 is: 5,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.06 : 6,528 = 3,676.90 : x
  2. Step 2: Convert to fraction form
    4,732.06/6,528 = 3,676.90/x
  3. Step 3: Cross multiply
    4,732.06x = 6,528 × 3,676.90
  4. Step 4: Simplify right side
    4,732.06x = 24,002,803.20
  5. Step 5: Solve for x
    x = 24,002,803.20/4,732.06
  6. Step 6: Final answer
    x = 5,072.38

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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.